用公式法分解1.100-(3x+2y)²2.(x+y)²-10(x+y)+253.x²-x的四次方

问题描述:

用公式法分解
1.100-(3x+2y)²
2.(x+y)²-10(x+y)+25
3.x²-x的四次方

1. 100-(3x+2y)²=[10+3x+2y][10-3x-2y]
2. (x+y)²-10(x+y)+25=(x+y-5)²
3. x²-x的四次方=(x-x²)(x+x²)=x²(1-x)(1+x)

1、10^2-(3x+2y)^2=(10+3x+2y)(10-3x-2y)
2、=(x+y)²-2*5(x+y)+5²=(x+y-5)²
3、=(x+x²)(x-x²)=(x+x²)(√x+x)(√x-x)

1:100-(3x+2y)²=10²-(3x+2y)²=(10-3x-2y)(10+3x+2y)2:(x+y)²-10(x+y)+25=(x+y-5)²3:x²-x^4=x²(1-x²)=x²(1-x)(1+x)...