Factor: x^3+64 I don't have a calculator and this is the first year I took algebra

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Factor: x^3+64 I don't have a calculator and this is the first year I took algebra

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## Answers (2)

It is easy and you need not have a calculator to factorise.Only you need to remember the formula for factorisation of sum of two cubes.The formula is a^3+b^3=(a+b)(a^2-ab+b^2)

x^3+64

=(x)^3+(4)^3 [this step has been written to show that they are perfct cubes]

=(x+4) {(x)^2-x.4+(4)^2}

=(x+4)(x^2-4x+16) ans

a^3 + b^3 = (a + b) (a^2 - ab + b^2)

a^3 - b^3 = (a - b) (a^2 +ab + b^2)

SO

(x + 4) ( x^2 - 4x + 16)

Reference:I've done it in school, and i have a reference table with a lot of these formulas that I keep handy.