Question 17 • AZ-Common Core Algebra II A
Recognize t^12 − r^3s^15 as a difference of cubes: (t^4)^3 − (rs^5)^3. Using a^3 − b^3 = (a − b)(a^2 + ab + b^2), the factorization is (t^4 − rs^5)(t^8 + rs^5t^4 + r^2s^10), which is choice B.
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