Respuesta :

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

Given expression is

[tex]9x^2+42x+49[/tex]

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,

[tex]9x^2+21x+21x+49[/tex]

[tex]3x(3x+7)+7(3x+7)\\[/tex]

Taking 3x+7 as common

[tex](3x+7) (3x+7)[/tex]

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

Therefore,

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

to get more about factors refer to:

https://brainly.com/question/25829061