The volume of a rectangular solid is (x³ - 8) cubic cm, and its height is (x - 2) cm. What is the area of its base?
a. x² + 2x + 4
b. x² - 2x + 4
c. x² + 2x - 4
d. - x² + 2x + 4
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The volume of a rectangular solid is (x³ - 8) cubic cm, and its height is (x - 2) cm. What is the area of its base?
a. x² + 2x + 4
b. x² - 2x + 4
c. x² + 2x - 4
d. - x² + 2x + 4
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Answer:
A. x²+2x+4
Step-by-step explanation:
difference of two cubes
x³-y³=(x-y)(x²+xy+y²)
thus
x³-8=(x-2)(x²+2x+4)