Question

Simplify: (x2 - 5) (x +5) + 25​

Answer 1

Answer:

$( {x}^{2} - 5)(x + 5) + 25 \\ = {x}^{3} + 5 {x}^{2} - 5x - 25 + 25 \\ = {x}^{3} + 5 {x}^{2} - 5x \\ = x( {x}^{2} + 5x - 5)$

Answer 2

Answer:

$= {x}^{2} \: (x + 5) \: - 5 \: (x + 5) + 25 =$

${x}^{3} + 5 {x}^{2} - 5x - 25 + 25$

$\sf therefore \: when \: we \: simplify \: this \: equation$

$( {x}^{2} - 5)(x + 5) + 25$

$\sf we \: find \: the \: solution$

${x}^{3} + 5 {x}^{2} - 5x$