Evaluate: x^2 * (5x^2+7)-16x * (5x^2+7)+63(5x^2+7)

Expression: ${x}^{2} \times \left( 5{x}^{2}+7 \right)-16x \times \left( 5{x}^{2}+7 \right)+63\left( 5{x}^{2}+7 \right)$

Factor out $5{x}^{2}+7$ from the expression

$\left( 5{x}^{2}+7 \right) \times \left( {x}^{2}-16x+63 \right)$

Write $-16x$ as a difference

$\left( 5{x}^{2}+7 \right) \times \left( {x}^{2}-7x-9x+63 \right)$

Factor out $x$ from the expression

$\left( 5{x}^{2}+7 \right) \times \left( x \times \left( x-7 \right)-9x+63 \right)$

Factor out $-9$ from the expression

$\left( 5{x}^{2}+7 \right) \times \left( x \times \left( x-7 \right)-9\left( x-7 \right) \right)$

Factor out $x-7$ from the expression

$\left( 5{x}^{2}+7 \right) \times \left( x-7 \right) \times \left( x-9 \right)$