Question

After factoring, Jenny ended up with the expression 7x(2+3y). What was the original expression that she factored?

Answer 1

Hello.

Recall that factoring is the opposite of distributing.

Factoring looks like that:

`\mathrm{ab+ac=a(b+c)}`

Distributing looks like that:

`\mathrm{a(b+c)=ab+ac}`

Using the formulae, let's solve the given problem.

We have an expression:

`\mathrm{7x(2+3y)}`

In order to find out the original expression, let's use the Distributive Property.

Distribute 7x:

`\mathrm{7x(2+3y)}\\\mathrm{14x+21xy}`

Therefore, the original expression is

`\mathrm{14x+21xy}`

I hope it helps.

Have a nice day.

`\boxed{imperturbability}`