Factor the polynomial. 216x^{9}-125y^{3}

eiraszero11cu

eiraszero11cu

Answered question

2021-12-09

Factor the polynomial.
216x9125y3

Answer & Explanation

John Koga

John Koga

Beginner2021-12-10Added 33 answers

Step 1
Given:
The polynomial f(x,y)=216x9125y3.
The given polynomial can be factorized as,
f(x,y)=216x9125y3
=63(x3)353y3
=(6x3)3(5y)3
=(6x35y)((6x3)2+(6x3×5y)+(5y)2)
(as a3b3=(ab)(a2+ab+b2))
=(6x35y)(36x6+30x3y+25y2)
Step 2
Hence, the factorized form of the given polynomial is f(x,y)=(6x35y)(36x6+30x3y+25y2)

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