# How do you find the product of (7v^2-6)(7v^2+6)?

Jan 15, 2017

$\left(7 {v}^{2} - 6\right) \left(7 {v}^{2} + 6\right) = 49 {v}^{4} - 36$

#### Explanation:

It's probably easiest to recognise that this is of the form:

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

So:

$\left(7 {v}^{2} - 6\right) \left(7 {v}^{2} + 6\right) = {\left(7 {v}^{2}\right)}^{2} - {6}^{2} = 49 {v}^{4} - 36$