# How do you factor 121c^4-264c^2+144?

##### 1 Answer
Jul 19, 2016

=${\left(11 {c}^{2} - 12\right)}^{2}$

#### Explanation:

The clues as to what might be happening here lie in the fact that 121 and 144 areboth perfect squares. Checking 264 reveals that it is

$11 \times 12 \times 2$ which means that this is the answer the square of a binomial.

$121 {c}^{4} - 264 + 144$

=${\left(11 {c}^{2} - 12\right)}^{2}$

Multiplying out will confirm the result.