几道代数因式分解题1.3a(b²+9)²-108ab²2.3a(x²+4)²-48ax²3.x^4(a-2b)+x²y²(2b-a)
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几道代数因式分解题1.3a(b²+9)²-108ab²2.3a(x²+4)²-48ax²3.x^4(a-2b)+x²y²(2b-a)
几道代数因式分解题
1.3a(b²+9)²-108ab²
2.3a(x²+4)²-48ax²
3.x^4(a-2b)+x²y²(2b-a)
几道代数因式分解题1.3a(b²+9)²-108ab²2.3a(x²+4)²-48ax²3.x^4(a-2b)+x²y²(2b-a)
3a(b²+9)²-108ab²
=3a[(b^2+9)^2-36b^2]
=3a(b^+9-6b)(b^2+9+6b)
=3a(b-3)^2(b+3)^2
2.3a(x²+4)²-48ax²
=3a[(x^2+4)^2-16x^2]
=3a(x^2+4+4x)(x^2+4-4x)
=3a(x+2)^2(x-2)^2
3.x^4(a-2b)+x²y²(2b-a)
=x^2(a-2b)(x^2-y^2)
=x^2(a-2b)(x+y)(x-y)
3a(b²+9)²-108ab²
=3a[(b^2+9)^2-36b^2]
=3a(7b^2+9)(9-5b^2)
3a(x²+4)²-48ax²
=3a[(x^2+4)-16x^2]
=3a(5x^2+4)(4-3x^2)
x^4(a-2b)+x²y²(2b-a)
=x^4(a-2b)-x²y²(a-2b)
=x^2(a-2b)(x+y)(x-y)
1.3a(b²+9)²-108ab²
=3a[（ b²+9）²-36b²]
=3a[b²+9+6b][b²+9-6b]
=3a(b+3)²(b-3)²
2.3a(x²+4)²-48ax²
=3a[(x²+4)&sup...
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1.3a(b²+9)²-108ab²
=3a[（ b²+9）²-36b²]
=3a[b²+9+6b][b²+9-6b]
=3a(b+3)²(b-3)²
2.3a(x²+4)²-48ax²
=3a[(x²+4)²-16x²]
=3a(x²+4+4x)(x²+4-4x)
=3a(x+2)²(x-2)²
3.x^4(a-2b)+x²y²(2b-a)
=x^4(a-2b)-x²y²(a-2b)
=(a-2b)（x^4-x²y²
=x²(a-2b)（x²-y²）
=x²(a-2b)（x+y)(x-y)
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