Question

question
multiply.
$-7x^{2}(-3x^{2}-8x - 8)$

Explanation:

Step1: Distribute the monomial

Apply distributive property: $a(b+c+d)=ab+ac+ad$
$-7x^2(-3x^2) + (-7x^2)(-8x) + (-7x^2)(-8)$

Step2: Multiply coefficients and variables

Calculate each term using $x^m \cdot x^n = x^{m+n}$
$(-7 \times -3)x^{2+2} + (-7 \times -8)x^{2+1} + (-7 \times -8)x^2$

Step3: Simplify each term

Compute products and exponents
$21x^4 + 56x^3 + 56x^2$

Answer:

$21x^4 + 56x^3 + 56x^2$