Question
Factorise:
$x^5 + x^2$
$x^5 + x^2$
✓
Answer
$x^5 + x^2$
$= x^2(x^3 + 1)$
$= x^2(x + 1)[(x)^2 - x \times 1 + (1)^2] Since a^3 + b^3 = (a + b)(a^2 - a \times b + b^2)$
$= x^2(x + 1)(x^2 - x + 1)$
$= x^2(x^3 + 1)$
$= x^2(x + 1)[(x)^2 - x \times 1 + (1)^2] Since a^3 + b^3 = (a + b)(a^2 - a \times b + b^2)$
$= x^2(x + 1)(x^2 - x + 1)$
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