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

1 Answer
Jul 19, 2016

Answer:

=#(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.