Question

因式分解式分解 (a-b)x^2+2ax+a+b 要列式

Answer 1

用十字相乘法,
a-b a+b
1 1
所以(a-b)x^2+2ax+a+b =(ax-bx+a+b )(x-1)

Answer 2

ax^2-bx^2+2ax+a+b=ax^2+2ax+a+b-bx^2=a(x^2+2x+1）+b(1-x^2）=a(x+1)^2+b（x+1）*（x-1)=（x+1）(ax+bx+a-b)