因式分解(a^2-b^2)^2;a^4-2a^2b^2+b^4;x^4-8x^2y^2+16y^4

问题描述:

因式分解(a^2-b^2)^2;a^4-2a^2b^2+b^4;x^4-8x^2y^2+16y^4

(a^2-b^2)^2=[(a-b)(a+b)]^2=(a-b)^2(a+b)^2a^4-2a^2b^2+b^4=(a^2-b^2)^2=[(a-b)(a+b)]^2=(a-b)^2(a+b)^2x^4-8x^2y^2+16y^4=(x^2-4y^2)^2=[(x+2y)(x-2y)]^2=(x+2y)^2(x-2y)^2