帮忙分解因式(1)12x² +14x-10 (2)6(x-y)² +5(y-x)+1 (3)x

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  • (1)12x² +14x-10

    =2(6x²+7x-5)

    =2(3x+5)(2x-1)

    (2)6(x-y)² +5(y-x)+1

    =6(x-y)² -5(x-y)+1

    =(3x-3y-1)(2x-2y-1)

    (3)x² -(m+n)x+mn

    =(x-m)(x-n)

    (4)2a^4-3a^2-14

    =(2a²-7)(a²+2)

    =(√2a+√7)(√2a-√7)(a²+2)

    (5)4(a+b)^4-13(a+b)^2+9

    =[4(a+b)²-9][(a+b)²-1]

    =(2a+2b+3)(2a+2b-3)(a+b+1)(a+b-1)

    (6)(2x^2-3x-1)^2+(2x^2-3x-1)-2

    =(2x²-3x-1+2)(2x²-3x-1-1)

    =(2x²-3x+1)(2x²-3x-2)

    =(2x-1)(x-1)(2x+1)(x-2)