(x-4y)^2-16(x-y)^2=? 求救
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(x-4y)^2-16(x-y)^2 =(x-4y)^2-(4(x-y))^2 =((x-4y)+4(x-y))((x-4y)-4(x-y)) =(x-4y+4x-4y)(x-4y-4x+4y) =(5x-8y)(-3x) =-3x(5x-8y)
参考: me
设a=(x-4y) b=(x-y) (x-4y)^2-16(x-y)^2 =a^2-16b^2 =(a-4b)(a+4b) =[(x-4y)-4(x-y)][(x-4y)+4(x-y)] =(x-4y-4x+4y)(x-4y+4x-y) =-5x(5x-5y) =5x(5y-5x) =25x(y-x)
x-4y)^2-16(x-y)^2 = 2.
参考: me
设a=(x-4y) b=(x-y) (x-4y)^2-16(x-y)^2 =a^2-16b^2 =(a-4b)(a+4b) =[(x-4y)-4(x-y)][(x-4y)+4(x-y)] =(x-4y-4x+4y)(x-4y+4x-y) =-5x(5x-5y) =5x(5y-5x) =25x(y-x)
x-4y)^2-16(x-y)^2 = 2.
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