Question

Factoring Expressions - Item 2782
Factor the expression 3y2 +12y.

Answer 1

`\huge\boxed{3y^2+12y=3y(y+4)}`

Explanation:

`3y^2=(3)(y)(y)\\\\12y=(3)(2)(2)(y)\\\\\text{Gratest Common Factor:}\ GCF(3y^2,\ 12y)=(3)(y)=3y\\\\3y^2+1y=(3y)(y)+(3y)(4)\\\\\text{Use the distributive property:}\ a(b+c)=ab+ac\\\\3y^2+12y=(3y)(y+4)`

Answer 2

3y(y + 4).

Explanation:

3y^2 + 12y

We first need to find the Greatest Common Factor of the 2 terms:

The GCF of 3 and 12 is 3.

The GCF of y^2 and y = y.

So the required GCF is 3y.

Now we divide the expression by 3y to get the factors. The quotient goes into the parentheses:

(3y^2 + 12y) / 3y = y + 4 so the factors are:

3y(y + 4).