Answer:
-x²+3x-8
Step-by-step explanation:
Given polynomials are :
f(x) = (x+2)²
p(x) = 7x−4
We need to find a simplified polynomial when f(x) is subtracted from p(x) i.e.
p(x) - f(x) = 7x−4 - (x+2)²
We know that, (a+b)² = a²+b²+2ab
So,
p(x) - f(x) = 7x−4 -(x²+2²+2(x)(2))
= 7x−4 -(x²+4+4x)
= 7x−4-x²-4-4x
= -x²+3x-8
Hence, the result will be -x²+3x-8.
