分解因式25x^2-10x(x-y)+(x-y)^2

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分解因式25x^2-10x(x-y)+(x-y)^2分解因式25x^2-10x(x-y)+(x-y)^2分解因式25x^2-10x(x-y)+(x-y)^225x^2-10x(x-y)+(x-y)^2

分解因式25x^2-10x(x-y)+(x-y)^2
分解因式25x^2-10x(x-y)+(x-y)^2

分解因式25x^2-10x(x-y)+(x-y)^2
25x^2-10x(x-y)+(x-y)^2
=(5x)²-2*(5x)*(x-y)+(x-y)²
=[(5x)-(x-y)]²
=(4x+y)²

25x^2-10x(x-y)+(x-y)^2=(5x-x+y)^2
=(4x+y)^2