Question

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

Answer 1

=`(11c^2 -12)^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 xx 12 xx 2` which means that this is the answer the square of a binomial.

`121c^4 -264 + 144`

=`(11c^2 -12)^2`

Multiplying out will confirm the result.