Factorise the following polynomial: 1 + 8x^3
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Answer:
Step-by-step explanation:
1+8x^3 can be written as
1^3+2x^3 using the identity a^3+b^3=(a+b)(a^2-ab+b^2)
where,a=1
b=2x
so by equating we get
(1+2x)(1-2x+4x^2)=1+8x^3
so hence we factorized 1 + 8x^3
and found that the factors of it are
(1+2x) and(1-2x+4x^2)
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