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因式分解①x^4(a-2b)+x^2y^2(2b-a) ②3a(x^2+4)^2-48ax^2 ③16(a-b)^2-25*(a+b)^2
人气:190 ℃ 时间:2020-04-01 04:58:01
解答

x^4(a-2b)+x^2y^2(2b-a)
=x^4(a-2b)-x^2y^2(a-2b)
=x^2(a-2b)(x^2-y^2)
=x^2(a-2b)(x+y)(x-y)

3a(x^2+4)^2-48ax^2
=3a[(x^2+4)^2-4^2x^2]
=3a(x^2-4x+4)(x^2+4x+4)
=3a(x-2)^2(x+2)^2

16(a-b)^2-25*(a+b)^2
=4^2(a-b)^2-5^2(a+b)^2
=(4a-4b+5a+5b)(4a-4b-5a-5b)
=-(9a+b)(a+9b)
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