仅仅是个因式分解,求解答
问题描述:
仅仅是个因式分解,求解答
因式分解:16(x+y)² - 25(x-y)² 速度啊
答
16(x+y)² - 25(x-y)²
=[4(X+Y)]²-[5(x-y)]²
=[4(x+y)+5(x-y)][4(x+y)-5(x-y)]
=(4x+4y+5x-5y)(4x+4y-5x+5y)
=(9x-y)(9y-x)