4a^2b^2-2a^3b^3-2ab和16x^4-y^4应怎么计算?
问题描述：
4a^2b^2-2a^3b^3-2ab和16x^4-y^4应怎么计算?
答
4a²b²-2a³b³-2ab
=-2ab(a²b²-2ab+1)
=-2ab(ab-1)²
16x^4-y^4
=(4x²)²-(y²)²
=(4x²+y²)(4x²-y²)
=(4x²+y²)(2x+y)(2x-y)
答
4a^2b^2-2a^3b^3-2ab
=-2ab(-2ab+a^2b^2+1)
=-2ab*(ab-1)^2
16x^4-y^4
=(4x^2-y^2)(4x^2+y^2)
=(2x-y)(2x+y)(4x^2+y^2)