Question
Simplify: $(x^2- 5) (x + 5) + 25$
✓
Answer
$(x^2- 5) (x + 5) + 25$
$= x^2(x + 5) - 5(x + 5) + 25$
$= x^2$ $\times$ $x + x^2$ $\times$ $5 - 5$ $\times$ $x - 5$ $\times$ $5 + 25$
$= x^3+ 5x^2- 5x - 25 + 25$
$= x^3+ 5x^2- 5x$
$= x^2(x + 5) - 5(x + 5) + 25$
$= x^2$ $\times$ $x + x^2$ $\times$ $5 - 5$ $\times$ $x - 5$ $\times$ $5 + 25$
$= x^3+ 5x^2- 5x - 25 + 25$
$= x^3+ 5x^2- 5x$
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