因式分解 16(x-y)^2-9(x+y)^2
问题描述:
因式分解 16(x-y)^2-9(x+y)^2
答
=(4x-4y+3x+3y)(4x-4y-3x-3y)=(7x-y)(x-7y)
答
16(x-y)^2-9(x+y)^2
=[4﹙x-y﹚+3﹙x+y﹚][4﹙x-y﹚-3﹙x+y﹚]
=﹙7x-y﹚﹙x-7y﹚
答
=[4(x-y)]²-[3(x+y)]²
=[4(x-y)+3(x+y)][4(x-y)-3(x+y)]
=(7x-y)(x-7y)
答
16(x-y)^2-9(x+y)^2
=[4(x-y)-3(x+y)][4(x-y)+3(x+y)]
=(4x-4y-3x-3y)(4x-4y+3x+3y)
=(x-7y)(7x-y)
答
16(x-y)^2-9(x+y)^2
=(4x-4y)²-(3x+3y)²
=(4x-4y+3x+3y)(4x-4y-3x-3y)
=(7x-y)(x-7y)