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