Question

因式分解x的2方（a-b)的2方-y的2方（b-a)的2方

Answer 1

x^2（a-b)^2-y^2（b-a)^2=x^2（a-b)^2-y^2（a-b)^2=(a-b)^2(x^2-y^2)=(a-b)^2(x+y)(x-y)(a^2+b^2)^2-4a^2b^2=(a^2+2ab+b^2)(a^2-2ab+b^2)=(a+b)^2(a-b)^2 若x^2+px+q=(x+2)(x-4)=x^2-2x-8对应项系数相等所以p=-2,q=-...