因式分解总共10道16x^-49y^16a^-72a+814+12(x-y)+9(x-y)^x³-9x16x的四次方-16ab^-9a^b-b³16-（2a+3b)^-36x^+12xy-y^4x(a-b)-8y(b-a)(x^-5)^+8(x^-5)+16

Question

因式分解 总共10道
16x^-49y^
16a^-72a+81
4+12(x-y)+9(x-y)^
x³-9x
16x的四次方-1
6ab^-9a^b-b³
16-（2a+3b)^
-36x^+12xy-y^
4x(a-b)-8y(b-a)
(x^-5)^+8(x^-5)+16

Answer 1

16x^-49y^
=(4x+7y)(4x-7y)
16a^-72a+81
=(4a-9)^
4+12(x-y)+9(x-y)^
=[2+3(x-y)]^
=(2+3x-3y)^
x³-9x
=x(x^-9）
=x(x+3)(x-3)
16x的四次方-1
=(4x^+1)(4x^-1)
=(4x^+1)(2x+1)(2x-1)
6ab^-9a^b-b³
=b(6ab-9a-b^)
16-（2a+3b)^
=[4+(2a+3b)][4-(2a+3b)]
=(4+2a+3b)(4-2a-3b)
-36x^+12xy-y^
=-(36x^-12xy+y^)
=-(6x-y)^2
4x(a-b)-8y(b-a)
=(a-b)(4x+8y)
=4(a-b)(x+2y)
(x^-5)^+8(x^-5)+16
=(x^-5+4)^2
=(x^-1)^
=(x+1)^(x-1)^