Factor the polynomial. 64x^{2}-36y^{2}

kerrum75

kerrum75

Answered question

2021-12-09

Factor the polynomial.
64x236y2

Answer & Explanation

Lynne Trussell

Lynne Trussell

Beginner2021-12-10Added 32 answers

Step 1
We have to factorize the polynomial:
64x236y2
Since,
64=8×8
=(8)2
36=6×6
=(6)2
Therefore we can rewrite the given expression,
64x236y2=(8x)2(6y)2
Step 2
We know the identity,
a2b2=(ab)(a+b)
By applying this identity we can factorize further,
a2b2=(ab)(a+b)
(8x)2(6y)2=(8x6y)(8x+6y)
=2(4x3y)×2(4x+3y)
=4(4x-3y)(4x+3y)
Hence, factorized form the expression is 4(4x-3y)(4x+3y)

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