Question 8 • FL-1200700-Mathematics for College Algebra MIS
Recognize 729x^15 + 1000 as a sum of cubes: 729x^15 = (9x^5)^3 and 1000 = 10^3. Apply a^3 + b^3 = (a + b)(a^2 − ab + b^2), using a = 9x^5 and b = 10. This gives (9x^5 + 10)(81x^10 − 90x^5 + 100), which is choice A.
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