因式分解:(2x²+5x)²-2x²-5x-6 X²-3X²-36Y² 7X²-Y+XY-21

问题描述:

因式分解:(2x²+5x)²-2x²-5x-6 X²-3X²-36Y² 7X²-Y+XY-21
7X²-3Y+XY-21

(2x²+5x)²-2x²-5x-6
=(2x^2+5x)^2-(2x^2+5x)-6
=(2x^2+5x-3)(2x^2+5x+2)
=(2x-1)(x+3)(2x+1)(x+2)
X²-3X²-36Y²
(有问题?)
7X²-3Y+XY-21x
=(7x^2-21x)+(xy-3y)
=7x(x-3)+y(x-3)
=(x-3)(7x+y)
有x就这样了