Factor the polynomial. 64x^{3}-y^{6}

Joanna Benson

Joanna Benson

Answered question

2021-12-14

Factor the polynomial. 64x3y6

Answer & Explanation

braodagxj

braodagxj

Beginner2021-12-15Added 38 answers

Step 1
Given- 64x3y6
To factorise- The above polynomial.
Identity Used- a3b3=(ab)(a2+ab+b2).
Step 2
Explanation- Rewrite the given expression.
64x3y6
Now, simplifying the above expression, we get,
=(4x)3(y2)3
=(4xy2)((4x)2+4xy+(y2)2)
=(4xy2)(16x4+4xy+y4)
So, the simplified form of the above expression is (4xy2)(16x4+4xy+y4).
Answer- Hence, the simplified form of the expression 64x3y6 is (4xy2)(16x4+4xy+y4).

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