Nick Eardley
Political correspondent

The question of how to get hate out of politics has run through political circles for some time.

Both parties have faced big criticism in recent weeks: Labour on anti-Semitism, an issue which has dogged the party for years now, and the Tories on Islamophobia, with some in the party thinking it hasn’t done enough.

The PM is asked about Islamophobia in the Tory Party, and - in particular - candidates who have retweeted Islamophobic comments.

"All those candidates have either apologised or are subject to investigation," he says, and refers to anti-Semitism within the Labour Party.

"Anti-Semitism is wrong and totally unacceptable," says Mr Corbyn.

He says he has introduced a disciplinary process, and an education process within the party, among other things.

"We have suspended or expelled members when we have found them guilty of anti-Semitic behaviour," he says.

"I do not ever use racist language in any form to describe anybody in this world," he adds, in a jibe at the PM - who has been criticised for remarks about Muslim women.

The PM hits back that Mr Corbyn is unwilling to "stand up for Jewish people in the Labour Party".

Moving on, another audience member, Toby Mayhew, asks the leaders: “What would you do to get the hate out of politics?”

Mr Johnson says this is a “very rough time in politics” and on racism his party is having an independent inquiry.

“They’re out first bounce if they are guilty,” he insists.

“We need to come together as a country," he goes on, but argues the divisions are partly there because "of our inability to get Brexit done".

Reality Check

Boris Johnson repeated the claim that the Conservatives will provide 40 new hospitals.

As we said, it's a contentious one.

While there will be £2.7bn over five years for the first six hospitals, the remaining 34 will be given just £100m between them to develop business cases.

The Conservatives say they will build and fund 40 hospital projects over 10 years. Nothing has been built yet.

Watch these exchanges below...

Boris Johnson says Mr Corbyn would make Diane Abbott home secretary, and that she has called in the past for MI5 to be disbanded.

He adds he will introduce more police officers and "back the police up".

"There are no plans whatsoever to disband MI5 or any other part of the security services," insists Mr Corbyn, referring again to cuts under the Tory government.

Instead, he says, "there are plans to invest properly" in security services.

The BBC's Nick Eardley says this is a big divide. Boris Johnson’s argument is he will invest more money into crime prevention and end early release.

Mr Corbyn, though, says it’s the Conservatives in power who have cut police numbers, so the argument doesn’t stack up.

Mr Johnson is asked about comments made by Dave Merritt, external, the father of one of the victims of the London Bridge attack, Jack Merritt.

Mr Merritt wrote that his son "would be livid his death has been used to further an agenda of hate".

“I have huge sympathy for Mr Merrit and the relatives, families, of both victims," Mr Johnson says.

“But I still think it is wrong that someone like Usman Khan… should have been out automatically after eight years when the judge made it clear he was… a risk to public safety."

He says automatic release in such cases is wrong.

A reminder here - those convicted under terror offences now are not eligible for automatic release.

Here's more from our legal correspondent Clive Coleman on sentencing.

Nick Eardley
Political correspondent

Neither candidate is willing to accept there is a choice between human rights and public safety.

Following the terror attack in London last week, an audience member now asks: are you prepared to put public safety ahead of human rights?

"It's not an either/or," says Mr Corbyn. "You have to keep the public safe... you have to give people that security, you don't get security on the cheap."

He adds: "There is no difference between wanting security and human rights, the two things are inextricably linked."

Mr Johnson refers to the London Bridge attack, and says it was "extraordinary and wrong" that the attacker was given automatic early release after an earlier terrorism conviction.

He says a Tory government would make sure that terrorists serve their full sentence - which is met with applause.

But his opponent points to cuts and privatisation in the judicial system and says "we all pay a price" if it is "underfunded".

Reality Check

During the debate, Jeremy Corbyn said "inequality has got worse".

This is difficult to answer as it depends what's meant by inequality - and Mr Corbyn didn't give any specifics.

If you look at income inequality, for example, then Office for National Statistics (ONS) figures show that it has remained broadly stable since 2010 - the year the Conservatives first came to power.

The ONS measures income inequality using something called the Gini coefficient.

The data, external suggests that there was a considerable increase in income inequality in the 1980s, but it was essentially stable over the past decade. Income inequality was 32.5% last year, very slightly down from the 32.7% recorded just before the 2010 election.

But this measure only looks at income, not wealth and assets. However, wealth inequality is much harder to measure because a lot of rich people do not disclose what their true wealth is.

When it comes to other areas of inequality, the data is more clear cut. For example, the ONS said last year that there been a statistically significant increase in the difference in life expectancy in England between the richest and poorest.

Discussion on public spending continues.

Attacking Labour's plans, Mr Johnson continues: "The burden of taxation always falls most heavily on modest and low incomes that’s what happen if Labour get in."

He says a Corbyn-Sturgeon coalition "will lead to economic disaster".

And, bringing it back to Brexit once again, he accuses Labour of offering more "uncertainty", adding: "We still don’t know whether Mr Corbyn is in favour of the deal he would do."

Mr Corbyn says businesses tell him they "can’t stand the uncertainty" of the situation at the moment with Brexit.

“They are constantly concerned at the lack of understanding in the way the country works,” he says.

He says with Labour they will "have the certainty of knowing what the trade relationship is" if they were to negotiate a deal with the EU.

Labour would likely negotiate a closer relationship with the EU than Boris Johnson has - staying in the customs union, for example.

Nick Eardley
Political correspondent

Public spending is an area where both parties are vulnerable - the Institute for Fiscal Studies think tank, remember, said neither set of proposals were credible.

An audience member asks how UK taxpayers are going to pay for the parties' spending plans.

The PM says: "What we won't do is borrow hugely to fund day-to-day investment. That is the mistake that Labour would make. They would rack up our debts."

He says people on as little as £20,000 a year will be paying £1,000 a year more in tax under Jeremy Corbyn.

The Labour leader argues the country has "gone too far down the road of free market economics".

He says if "every single bit of our manifesto was carried out tomorrow" the UK would "just about reach" the public service levels of France of Germany.

The PM responds that Labour "always ends their time in office with an economic crisis", before saying that Mr Corbyn and John McDonnell would go further and "start their time in office with an economic crisis".

He adds that if people want a "dynamic" market economy "you cannot clobber" companies with taxes.

Nick Eardley
Political correspondent

Politicians aren’t always the same - and that last exchange was a reminder of that.

Jeremy Corbyn backing democratic socialist policies to improve standards of the poor - Boris Johnson says it’s one nation Conservatism that does it best.

A question now from Phil, who has written in. He asks: "Which has the better track record of raising the living standards of the poor - socialism or capitalism?"

Mr Corbyn says: "Socialism carried out in a certain way has raised the standards of the very poorest.

"Our Labour government would do the same again."

Mr Johnson says: "It is One Nation Conservativism that is the only way you can pay for public services and look after the poorest in society.

"To attack capitalism is absolutely senseless."