The correct answer will be [tex]4x^{2} - 32x + 28[/tex]
Let's simplify step-by-step.
(x−7)(−9)+(x−7)(4x+5)
Distribute:
= (x)(−9)+(−7)(−9)+(x)(4x)+(x)(5)+(−7)(4x)+(−7)(5)
= −9x+63+4x2+5x+−28x+−35
Combine Like Terms:
= −9x+63+4x2+5x+−28x+−35
= (4x2)+(−9x+5x+−28x)+(63+−35)
= 4x2+−32x+28
