Question 12 • AZ-Common Core Algebra II A
Write the expression as (t^4)^3 − (rs^5)^3, since (t^4)^3 = t^12 and (rs^5)^3 = r^3s^15. Use the difference-of-cubes rule a^3 − b^3 = (a − b)(a^2 + ab + b^2). This gives (t^4 − rs^5)(t^8 + rs^5t^4 + r^2s^10), which is choice B.
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