用公式法分解1.100-(3x+2y)²2.(x+y)²-10(x+y)+253.x²-x的四次方
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![用公式法分解1.100-(3x+2y)²2.(x+y)²-10(x+y)+253.x²-x的四次方](/uploads/image/z/4884470-62-0.jpg?t=%E7%94%A8%E5%85%AC%E5%BC%8F%E6%B3%95%E5%88%86%E8%A7%A31.100-%EF%BC%883x%2B2y%EF%BC%89%26%23178%3B2.%EF%BC%88x%2By%EF%BC%89%26%23178%3B-10%EF%BC%88x%2By%EF%BC%89%2B253.x%26%23178%3B-x%E7%9A%84%E5%9B%9B%E6%AC%A1%E6%96%B9)
用公式法分解1.100-(3x+2y)²2.(x+y)²-10(x+y)+253.x²-x的四次方
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
用公式法分解1.100-(3x+2y)²2.(x+y)²-10(x+y)+253.x²-x的四次方
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)²
3:x²-x^4=x²(1-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=[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)