Factor the expression completely. 125+27y^{3}

Halkadvalseln

Halkadvalseln

Answered question

2021-12-07

Factor the expression completely.
125+27y3

Answer & Explanation

Lupe Kirkland

Lupe Kirkland

Beginner2021-12-08Added 21 answers

Step 1
We have to factorize the following polynomial:
125+27y3
The above polynomial is in the form of sum of two cubes.
Step 2
Then we get,
125+27y3
=(5)3+(3y)3
=(5+3y)[52(5)(3y)+(3y)2]
=(5+3y)(2515y+9y2)
=(3y+5)(9y215y+25)
Hence the required factorization.

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