因式分解(2x^2)^3-6x^3(x^3+2x^2+x)化简后求值:(2a-3b)^2-2(2a+3b)(2a-3b)+(2a+3b)^2,其中a=-2,b=1/3(x+2)(x+4)+1
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![因式分解(2x^2)^3-6x^3(x^3+2x^2+x)化简后求值:(2a-3b)^2-2(2a+3b)(2a-3b)+(2a+3b)^2,其中a=-2,b=1/3(x+2)(x+4)+1](/uploads/image/z/3137318-62-8.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%EF%BC%882x%5E2%EF%BC%89%5E3-6x%5E3%28x%5E3%2B2x%5E2%2Bx%29%E5%8C%96%E7%AE%80%E5%90%8E%E6%B1%82%E5%80%BC%EF%BC%9A%EF%BC%882a-3b%EF%BC%89%5E2-2%282a%2B3b%29%282a-3b%29%2B%282a%2B3b%29%5E2%2C%E5%85%B6%E4%B8%ADa%3D-2%2Cb%3D1%2F3%28x%2B2%29%28x%2B4%29%2B1)
因式分解(2x^2)^3-6x^3(x^3+2x^2+x)化简后求值:(2a-3b)^2-2(2a+3b)(2a-3b)+(2a+3b)^2,其中a=-2,b=1/3(x+2)(x+4)+1
因式分解(2x^2)^3-6x^3(x^3+2x^2+x)
化简后求值:(2a-3b)^2-2(2a+3b)(2a-3b)+(2a+3b)^2,其中a=-2,b=1/3
(x+2)(x+4)+1
因式分解(2x^2)^3-6x^3(x^3+2x^2+x)化简后求值:(2a-3b)^2-2(2a+3b)(2a-3b)+(2a+3b)^2,其中a=-2,b=1/3(x+2)(x+4)+1
(2x^2)^3-6x^3(x^3+2x^2+x)
=8x^6-6x^4(x^2+2x+1)
=2x^4[4x^2-(x^2+2x+1)]
=2x^4(3x^2-2x-1);
=2x^4(3x+1)(x-1)
2
(2a-3b)^2-2(2a+3b)(2a-3b)+(2a+3b)^2
=[(2a-3b)-(2a+3b)]^2
=[-6b]^2
=36·b^2
=4
3
(x+2)(x+4)+1
=x^2+6x+8+1
=x^2+6x+9
=(x+3)^2
(2x^2)^3-6x^3(x^3+2x^2+x)
=(2x^2)^3-6x^4(x^2+2x+1)
=8x^6-6x^4(x+1)^2
=2x^4[4x^2-(x+1)^2]
=2x^4(2x+x+1)(2x-x-1)(由平方差公式可得)
=2x^4(3x+1)(2x-1)
(2a-3b)^2-2(2a+3b)(2a-3b)+(2a+3...
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(2x^2)^3-6x^3(x^3+2x^2+x)
=(2x^2)^3-6x^4(x^2+2x+1)
=8x^6-6x^4(x+1)^2
=2x^4[4x^2-(x+1)^2]
=2x^4(2x+x+1)(2x-x-1)(由平方差公式可得)
=2x^4(3x+1)(2x-1)
(2a-3b)^2-2(2a+3b)(2a-3b)+(2a+3b)^2
=[(2a-3b)-(2a+3b)]^2
=[2a-3b-2a-3b]^2
=(-6b)^2
=36b^2
=36*(1/3)^2
=36*1/9
=4
(x+2)(x+4)+1
=x^2+6x+8+1
=x^2+6x+9
=(x+3)^2
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