分解因式:1.x^2-7x+10 2.(3x+2y)^2(a-b)+(2x-3y)^2(b-a)
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分解因式:1.x^2-7x+10 2.(3x+2y)^2(a-b)+(2x-3y)^2(b-a)
分解因式:1.x^2-7x+10
2.(3x+2y)^2(a-b)+(2x-3y)^2(b-a)
分解因式:1.x^2-7x+10
2.(3x+2y)^2(a-b)+(2x-3y)^2(b-a)
(1)
=(x^2-2x)-(5x-10)
=x(x-2)-5(x-2)
=(x-2)(x-5)
(2)
=(3x+2y)^2(a-b)-(2x-3y)^2(a-b)
=(a-b)[(3x+2y)^2-(2x-3y)^2]
=(a-b)[(3x+2y)+(2x-3y)]
[(3x+2y)-(2x-3y)]
=(a-b)(5x-y)(x+5y)
=(x^2-2x)-(5x-10)
=x(x-2)-5(x-2)
=(x-2)(x-5)
(2)
=(3x+2y)^2(a-b)-(2x-3y)^2(a-b)
=(a-b)[(3x+2y)^2-(2x-3y)^2]
=(a-b)[(3x+2y)+(2x-3y)]
[(3x+2y)-(2x-3y)]
=(a-b)(5x-y)(x+5y)
分解因式:2.(2x-3y)(a+b)+(3x+2y)(b-a)
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