Expand the expression (p+4q) 3 (p+4q) ^3 (p+4q) 3 left parenthesis, p, plus, 4, q, right parenthesis, cubed using the binomial theorem.

Question

Casey Barnes

Mathematics

28 November, 21:42

Expand the expression (p+4q) 3 (p+4q) ^3 (p+4q) 3 left parenthesis, p, plus, 4, q, right parenthesis, cubed using the binomial theorem.

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Answers (1)

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Cayden Schroeder · Answer 1

p^3 + 12 (p^2) q + 48p (q^2) + 64 (q^3)

Step-by-step explanation:

(p+4q) ^3 - ->

(3C3) (p^3) + (3C2) (p^2) (4q) + (3C1) (p) (4q) ^2 + (3C0) (4q) ^3 =

p^3 + 12 (p^2) q + 48p (q^2) + 64 (q^3)