分解因式①25x²-y²;②(a-b)(x-y)+(a-b)(x+y);③(x+2y)²-8xy
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/04 08:33:42
![分解因式①25x²-y²;②(a-b)(x-y)+(a-b)(x+y);③(x+2y)²-8xy](/uploads/image/z/2555625-57-5.jpg?t=%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F%E2%91%A025x%26%23178%3B-y%26%23178%3B%EF%BC%9B%E2%91%A1%EF%BC%88a-b%29%28x-y%29%2B%28a-b%29%28x%2By%EF%BC%89%EF%BC%9B%E2%91%A2%EF%BC%88x%2B2y%29%26%23178%3B-8xy)
分解因式①25x²-y²;②(a-b)(x-y)+(a-b)(x+y);③(x+2y)²-8xy
分解因式①25x²-y²;②(a-b)(x-y)+(a-b)(x+y);③(x+2y)²-8xy
分解因式①25x²-y²;②(a-b)(x-y)+(a-b)(x+y);③(x+2y)²-8xy
①25x²-y²
=(5x+y)(5x-y)
②(a-b)(x-y)+(a-b)(x+y)
=(a-b)[(x-y)+(x+y)]
=2x(a-b)
③(x+2y)²-8xy
=x²+4xy+4y²-8xy
=x²-4xy+4y²
=(x-2y)²
①平方差 (5x+y)(5x-y)
②提公因式(a-b)2x
③开括号再整理x^2+4xy+4y^2-8xy=x^2-4xy+4y^2=(x-2y)^2
可追问 望采纳