# Solve for: 9x^2-121

## Expression: $9{x}^{2}-121$

Write the number in the exponential form with an exponent of $2$

${3}^{2}{x}^{2}-121$

Write the number in the exponential form with an exponent of $2$

${3}^{2}{x}^{2}-{11}^{2}$

Multiply the terms with equal exponents by multiplying their bases

${\left( 3x \right)}^{2}-{11}^{2}$

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

$\left( 3x-11 \right) \times \left( 3x+11 \right)$

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