Factor the polynomial. 64x^{3}+27

Vikolers6

Vikolers6

Answered question

2021-12-08

Factor the polynomial. 64x3+27

Answer & Explanation

vrangett

vrangett

Beginner2021-12-09Added 36 answers

Step 1
To factor the polynomial:- 64x3+27
Use the identity:
a3+b3=(a+b)(a2ab+b2)
Step 2
Now, 64x3+27=(4x)3+33
Here, a=4x and b=3
64x3+27=(4x)2+33
=(4x+3)((4x)2(4x)(3)+32)
=(4x+3)(16x212x+9)

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