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Back to Apply the Binomial Theorem — Problem 2 · Task Set 17

HSA.APR.C.5 Tutor Intake — Binomial Theorem and Pascal's Triangle

This short check helps your tutor understand where to start with the Binomial Theorem. Answer each question on your own without help. If you are unsure, give your best try. (Note: This is an advanced topic marked (+).)

Grade 11·5 problems·~10 min·Common Core Math - HS Algebra·standard·hsa-apr-c-5
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Procedures

1.

Find the 3rd term of (x+y)8(x + y)^8.

The kkth term (counting from 1) is (8k−1)x8−(k−1)yk−1\binom{8}{k-1} x^{8-(k-1)} y^{k-1}.

Enter the coefficient of the 3rd term.