Factor each polynomial. 27x^{3}+64y^{3}

zeotropojd

zeotropojd

Answered question

2021-12-09

Factor each polynomial. 27x3+64y3

Answer & Explanation

hysgubwyri3

hysgubwyri3

Beginner2021-12-10Added 43 answers

Step 1: To Find
We have to factorize the polynomial 27x3+64y3.
Step 2: Calculation
27x3+64y3=(3x)3+(4y)3
a3+b3=(a+b)(a2ab+b2)
(3x)3+(4y)3=(3x+4y)[(3x)23x×4y+(4y)2]
27x3+64y3=(3x+4y)[9x212xy+16y2]

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