Calculate: x^3+125

Expression: ${x}^{3}+125$

Write the number in the exponential form with an exponent of $3$

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

Use ${a}^{3}+{b}^{3}=\left( a+b \right)\left( {a}^{2}-ab+{b}^{2} \right)$ to factor the expression

$\left( x+5 \right) \times \left( {x}^{2}-x \times 5+{5}^{2} \right)$

Use the commutative property to reorder the terms

$\left( x+5 \right) \times \left( {x}^{2}-5x+{5}^{2} \right)$

Evaluate the power

$\left( x+5 \right) \times \left( {x}^{2}-5x+25 \right)$