Asked by elena gilbert
Q.1. write the expansions:
(3x+4y)^3
(3x+4y)^3
Answers
Answered by
Reiny
in general
(a+b)^3 = a^3 + 3a^2 b + 3a b^2 + b^3
so ....
(3x+4y)^3
= (3x)^3 + 3(3x)^2 (4y) + 3(3x)(4y)^2 + (4y)^3
= 27x^3 + 108x^2 y + 144xy^2 + 64y^3
(check my arithmetic)
(a+b)^3 = a^3 + 3a^2 b + 3a b^2 + b^3
so ....
(3x+4y)^3
= (3x)^3 + 3(3x)^2 (4y) + 3(3x)(4y)^2 + (4y)^3
= 27x^3 + 108x^2 y + 144xy^2 + 64y^3
(check my arithmetic)
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