(1),3(x-1)的立方y-(1-x)的立方z
(2)(3m+2n)的平方-(2m+3n)的平方(3)3a(b的平方+9)的平方-108ab的平方(4)x的4次方(a-2b)+x的平方y的平方(2b-a)(5)16(a...
(2)(3m+2n)的平方-(2m+3n)的平方 (3)3a(b的平方+9)的平方-108ab的平方 (4)x的4次方(a-2b)+x的平方y的平方(2b-a) (5)16(a-b)的平方-25(a+b)的平方 ,回答就采纳,辛苦你了!
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(1)3(x-1)^3y-(1-x)^3z
=3(x-1)^3y+(x-1)^3z
=(x-1)^3(3y+z)
(2)(3m+2n)^2-(2m+3n)^2
=[(3m+2n)+(2m+3n)][(3m+2n)-(2m+3n)]
=(5m+5n)(m-n)
=5(m+n)(m-n)
(3)3a(b^2+9)^2-108ab^2
=3a[(b^2+9)^2-36b^2]
=3a(b^2+9+6b)(b^2+9-6b)
=3a(b+3)^2(b-3)^2
(4)x^4(a-2b)+x^2y^2(2b-a)
=(a-2b)(x^4-x^2y^2)
=(a-2b)(x^2+xy)(x^-xy)
=x^2(a-2b)(1+y)(1-y)
(5)16(a-b)^2-25(a+b)^2
=[4(a-b)+5(a+b)][4(a-b)-5(a+b)]
=(9a+b)(-a-9b)
=-(9a+b)(a+9b)
=3(x-1)^3y+(x-1)^3z
=(x-1)^3(3y+z)
(2)(3m+2n)^2-(2m+3n)^2
=[(3m+2n)+(2m+3n)][(3m+2n)-(2m+3n)]
=(5m+5n)(m-n)
=5(m+n)(m-n)
(3)3a(b^2+9)^2-108ab^2
=3a[(b^2+9)^2-36b^2]
=3a(b^2+9+6b)(b^2+9-6b)
=3a(b+3)^2(b-3)^2
(4)x^4(a-2b)+x^2y^2(2b-a)
=(a-2b)(x^4-x^2y^2)
=(a-2b)(x^2+xy)(x^-xy)
=x^2(a-2b)(1+y)(1-y)
(5)16(a-b)^2-25(a+b)^2
=[4(a-b)+5(a+b)][4(a-b)-5(a+b)]
=(9a+b)(-a-9b)
=-(9a+b)(a+9b)
追问
那个上面的符号是什么意思呀?
追答
代表平方的意思
x^2就是x²(x的平方)
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