(1)4a^2-20ab+25b^2-36

问题描述:

(1)4a^2-20ab+25b^2-36
(2)x^6-y^6-2x^3+1
(3) a^4b+a^3b^2-a^2b^3-ab^4
a^2相当于a的2次方~
x^2-6x-5

(1)4a^2-20ab+25b^2-36
=(2a-5b)²-36
=(2a-5b+6)(2a-5b-6)
(2)x^6-y^6-2x^3+1
=(x³-1)²-y^6
=(x³-1-y³)(x³-1+y³)
(3) a^4b+a^3b^2-a^2b^3-ab^4
=ab(a³+a²b-ab²-b³)
=ab[a²(a+b)-b²(a+b)]
=ab(a²-b²)(a+b)
=ab(a-b)(a+b)²