Factor the polynomial. 125x^{3} - 8

William Burnett

William Burnett

Answered question

2021-12-14

Factor the polynomial. 125x38

Answer & Explanation

limacarp4

limacarp4

Beginner2021-12-15Added 39 answers

Step 1
Given expression is
(125x38)
Since, both terms are perfect cubes.
We will use the formula (a3b3)=(ab)(a2+b2+ab)
Here,
a=5x and b=2
We can write as
(5x)3(2)3=(5x2)[(5x)2+22+5x×2]
=(52x)(25x2+4+10x)
Step 2
Hence,
(125x38)=(5x2)(25x2+10x+4)

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