the formula for the area of a parallelogram is a = bh, where b is the base and h is the height. which…
the formula for the area of a parallelogram is a = bh, where b is the base and h is the height. which simplified expression represents the area of the parallelogram? (x - 4) cm (2x² + 2x - 6) cm (not drawn to scale) -4x³ + 14x - 24 square centimeters 2x³ - 6x² - 14x + 24 square centimeters -4x³ - 14x + 24 square centimeters 2x³ + 6x² + 14x + 24 square centimeters
Answer
Explanation:
Step1: Substitute base and height into formula
$A=(2x^{2}+2x - 6)(x - 4)$
Step2: Use distributive property
[ \begin{align*} A&=2x^{2}(x - 4)+2x(x - 4)-6(x - 4)\ &=(2x^{3}-8x^{2})+(2x^{2}-8x)+(-6x + 24) \end{align*} ]
Step3: Combine like - terms
[ \begin{align*} A&=2x^{3}+(-8x^{2}+2x^{2})+(-8x-6x)+24\ &=2x^{3}-6x^{2}-14x + 24 \end{align*} ]
Answer:
2x^{3}-6x^{2}-14x + 24 square centimeters