Question

Factor completely 9x2 42x 49. (3x 7)(3x − 7) (9x − 7)(9x − 7) (3x 7)(3x 7) (9x 7)(9x 7).

Answer 1

Factors of the given expression by splitting middle term of expression$9x^2+42x+49$ will be $(3x+7) and (3x+7)$.

Given expression is

$9x^2+42x+49$

What is a factor?

A factor is a number that divides another number leaving no remainder

After we split 42x into 21x each,

The expression looks like,

$9x^2+21x+21x+49$

$3x(3x+7)+7(3x+7)$

Taking 3x+7 as common

$(3x+7) (3x+7)$

So factors will be (3x+7) and (3x+7).

Therefore,

Factors of the given expression $9x^2+42x+49$ will be $(3x+7) and (3x+7)$.

to get more about factors refer to:

brainly.com/question/25829061