121(x-y)^2-36(x+y)^2因式分解

问题描述:

121(x-y)^2-36(x+y)^2因式分解

121(x-y)^2-36(x+y)^2
=[11(x-y)+6(x+y)][11(x-y)-6(x+y)]
=(11x-11y+6x+6y)(11x-11y-6X-6y)
=(17x-5y)(5x-17y)