分解因式:(1)25x²-y²; (2)(a-b)(x-y)+(a-b)(x+y) (3)(x+2y)²-8xy

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分解因式:(1)25x²-y²; (2)(a-b)(x-y)+(a-b)(x+y) (3)(x+2y)²-8xy
分解因式:(1)25x²-y²; (2)(a-b)(x-y)+(a-b)(x+y) (3)(x+2y)²-8xy

分解因式:(1)25x²-y²; (2)(a-b)(x-y)+(a-b)(x+y) (3)(x+2y)²-8xy
分解因式:
(1)25x²-y²;
=(5x)²-y²
=(5x+y)(5x-y)
(2)(a-b)(x-y)+(a-b)(x+y)
=(a-b)(x-y+x+y)
=2x(a-b)
(3)(x+2y)²-8xy
=x²+4xy+4y²-8xy
=x²-4xy+4y²
=(x-2y)²

25x²-y²
=(5x+y)(5x-y)
(a-b)(x-y)+(a-b)(x+y)
=(a-b)(x-y+x+y)
=2x(a-b)
(x+2y)²-8xy
=x²+4xy+4y²-8xy
=x²-4xy+4y²
=(x-2y)²
很高兴为您...

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25x²-y²
=(5x+y)(5x-y)
(a-b)(x-y)+(a-b)(x+y)
=(a-b)(x-y+x+y)
=2x(a-b)
(x+2y)²-8xy
=x²+4xy+4y²-8xy
=x²-4xy+4y²
=(x-2y)²
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(1)=(5x+y)(5x-y)
(2)=(a-b)(x-y+x+y)=2x(a-b)
(3)=x方+4xy+4y方-8xy
=x方-4xy+4y方
=(x-2y)方