Factor the expression. y2 + 14xy + 49x2

Question

please help me

Answer 1

(y^2 + 14x6 + 49x^2)

When you do this: (   ) (   ) the y^2 will make the first parts y like this:

(y   ) (y   )

The other part is 49x^2.  The square root of 49x^2 is 7x, so let's try this:

(y  7x) (y  7x)

Everything in the original problem is +'s, so let's try this:

(y + 7x) (y + 7x)

Expanding that gives us:

y^2 + 14x + 49x^2

So the factors of y^2 + 14x + 49x^2 are (y+7x) (y + 7x) or just (y + 7x)^2