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

Sagot :

Hello.

Recall that factoring is the opposite of distributing.

Factoring looks like that:

[tex]\mathrm{ab+ac=a(b+c)}[/tex]

Distributing looks like that:

[tex]\mathrm{a(b+c)=ab+ac}[/tex]

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

We have an expression:

[tex]\mathrm{7x(2+3y)}[/tex]

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

Distribute 7x:

[tex]\mathrm{7x(2+3y)}\\\mathrm{14x+21xy}[/tex]

Therefore, the original expression is

[tex]\mathrm{14x+21xy}[/tex]

I hope it helps.

Have a nice day.

[tex]\boxed{imperturbability}[/tex]