How do you simplify (10x + 3)(10x - 3)?

May 31, 2017

See a solution process below:

Explanation:

This is a special form for factoring a quadratic. The formula is:

$\left(a + b\right) \left(a - b\right) = {a}^{2} - {b}^{2}$

Substituting $10 x$ for $a$ and $3$ for $b$ gives:

$\left(10 x + 3\right) \left(10 x - 3\right) \implies {\left(10 x\right)}^{2} - {3}^{2} \implies 100 {x}^{2} - 9$