Question

how would the expression x^3+27 be rewritten using sum of cubes?

Answer 1

a³ + b³ = (a+b)(a² - ab + b²) [remarkable identities]

a³ = x³ 
b³ = 27 = 3³
then :
x³ + 3³ = (x+3)(x² - 3x + 9)

Answer 2

Hello!

Even if you didn't know the sum of cubes formula, you could simply multiply in attempt to figure out which option is correct. The multiplication that leads to x3+27 would be the correct option. Nevertheless the formula for sum of cubes is a3+b3=(a+b)(a2−ab+b2).

Final Answer:(x+3)(x2−3x+9)
Option "A". (x+3)(x^2-3x+9)

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