Question

multiply.
-3(x + 7)(x - 4)
simplify your answer.

Explanation:

Step1: Multiply \((x + 7)(x - 4)\)

Using the FOIL method: \((x + 7)(x - 4)=x\cdot x+x\cdot(-4)+7\cdot x + 7\cdot(-4)=x^{2}-4x + 7x-28=x^{2}+3x - 28\)

Step2: Multiply by \(-3\)

\(-3(x^{2}+3x - 28)=-3\cdot x^{2}+(-3)\cdot3x+(-3)\cdot(-28)=-3x^{2}-9x + 84\)

Answer:

\(-3x^{2}-9x + 84\)