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]
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