Question

分解因式:9(2x-y)^2-16(x+2y)^2

今天12点之前回答，这是算术题，请回答详细点

Answer 1

9(2x-y)²-16(x+2y)²
解：原式=[3（2x-y）]²-[4(x+2y)]²
=[3（2x-y)+4(x+2y)][3(2x-y)-4(x+2y)]
= (6x-3y+4x+8y) (6x-3y-4x-8y)
=(10x+5y)(2x-11y)
=5(2x+y)(2x-11y)

Answer 2

分解因式:
9(2x-y)^2-16(x+2y)^2
=[3（2x-y)+4(x+2y)][3(2x-y)-4(x+2y)]
=[10x+5y][2x-11y]
=5(2x+y)(2x-11y)