Question

PLEASE Hurry If f(x)=7x2−2 and g(x)=2(x−7)2 , which is an equivalent form of f(x)−g(x) ? A 5x2−100 B 5x2+28x−100 C 5x2+14x−51 D 3x2+56x−198

Answer 1

5x^2 +28x - 100

Explanation:

f(x)=7x^2−2 and g(x)=2(x−7)^2

First simplify g(x)

g(x) = 2 ( x-7)(x-7) = 2( x^2 - 7x -7x +49) = 2(x^2 -14x +49) = 2x^2 -28x +98

Now f(x) - g(x)

f(x) - g(x) = 7x^2−2 - (2x^2 -28x +98)

Distribute the minus sign

= 7x^2−2 - 2x^2 +28x -98

Combine like terms

= 5x^2 +28x - 100