(x-2y)^2(x+2y)^2 (a-2b+3)(a+2b-3)以上利用乘法公式计算 下面分解因式1.-4a^2+24a-36 2.(x+2)(x+4)+1 3.4(a+b)^2-9(a-b)^2 4.x^2(x-y)+2x(x-y)-(y-x) 5.(x^2+4)^2-16x^2 6.(a+b)^2+4(a+b+1)

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(x-2y)^2(x+2y)^2 (a-2b+3)(a+2b-3)以上利用乘法公式计算 下面分解因式1.-4a^2+24a-36 2.(x+2)(x+4)+1 3.4(a+b)^2-9(a-b)^2 4.x^2(x-y)+2x(x-y)-(y-x) 5.(x^2+4)^2-16x^2 6.(a+b)^2+4(a+b+1)
(x-2y)^2(x+2y)^2 (a-2b+3)(a+2b-3)
以上利用乘法公式计算 下面分解因式1.-4a^2+24a-36 2.(x+2)(x+4)+1 3.4(a+b)^2-9(a-b)^2 4.x^2(x-y)+2x(x-y)-(y-x) 5.(x^2+4)^2-16x^2 6.(a+b)^2+4(a+b+1)

(x-2y)^2(x+2y)^2 (a-2b+3)(a+2b-3)以上利用乘法公式计算 下面分解因式1.-4a^2+24a-36 2.(x+2)(x+4)+1 3.4(a+b)^2-9(a-b)^2 4.x^2(x-y)+2x(x-y)-(y-x) 5.(x^2+4)^2-16x^2 6.(a+b)^2+4(a+b+1)
(x-2y)^2(x+2y)^2
=[(x-2y)(x+2y)]^2
=(x^2-4y^2)^2
=x^4-8x^2y^2+16y^4

(a-2b+3)(a+2b-3)
=[a-(2b-3)][a+(2b-3)]
=a²-(2b-3)²
=a²-4b²+12b-9

1.-4a^2+24a-36
=-4(a^2-6a+9)
=-4(a-3)^2

2.(x+2)(x+4)+1
=x^2+6x+8+1
=(x+3)^2

3.4(a+b)^2-9(a-b)^2
=[2(a+b)+3(a-b)][2(a+b)-3(a-b)]
=(5a-b)(-a+5b)
=-(5a-b)(a-5b)

4.x^2(x-y)+2x(x-y)-(y-x)
=x^2(x-y)+2x(x-y)+(x-y)
=(x-y)(x^2+2x+1)
=(x-y)(x+1)^2

5.(x^2+4)^2-16x^2
=(x^2+4x+4)(x^2-4x+4)
=(x+2)^2(x-2)^2

6.(a+b)^2+4(a+b+1)
=(a+b)^2+4(a+b)+4
=(a+b+2)^2

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