公式法(完全平方公式法) 并写出过程与结果!1.(x²-5)²+2(x²-5)+12.x²+xy+y²3.2x²-4x+24.x³-6x²+9x5.y³-4y²+4y6.x²y²+6xy+9
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![公式法(完全平方公式法) 并写出过程与结果!1.(x²-5)²+2(x²-5)+12.x²+xy+y²3.2x²-4x+24.x³-6x²+9x5.y³-4y²+4y6.x²y²+6xy+9](/uploads/image/z/2584844-44-4.jpg?t=%E5%85%AC%E5%BC%8F%E6%B3%95%EF%BC%88%E5%AE%8C%E5%85%A8%E5%B9%B3%E6%96%B9%E5%85%AC%E5%BC%8F%E6%B3%95%EF%BC%89+%E5%B9%B6%E5%86%99%E5%87%BA%E8%BF%87%E7%A8%8B%E4%B8%8E%E7%BB%93%E6%9E%9C%211.%EF%BC%88x%26sup2%3B-5%EF%BC%89%26sup2%3B%2B2%EF%BC%88x%26sup2%3B-5%EF%BC%89%2B12.x%26sup2%3B%2Bxy%2By%26sup2%3B3.2x%26sup2%3B-4x%2B24.x%26sup3%3B-6x%26sup2%3B%2B9x5.y%26sup3%3B-4y%26sup2%3B%2B4y6.x%26sup2%3By%26sup2%3B%2B6xy%2B9)
公式法(完全平方公式法) 并写出过程与结果!1.(x²-5)²+2(x²-5)+12.x²+xy+y²3.2x²-4x+24.x³-6x²+9x5.y³-4y²+4y6.x²y²+6xy+9
公式法(完全平方公式法) 并写出过程与结果!
1.(x²-5)²+2(x²-5)+1
2.x²+xy+y²
3.2x²-4x+2
4.x³-6x²+9x
5.y³-4y²+4y
6.x²y²+6xy+9
公式法(完全平方公式法) 并写出过程与结果!1.(x²-5)²+2(x²-5)+12.x²+xy+y²3.2x²-4x+24.x³-6x²+9x5.y³-4y²+4y6.x²y²+6xy+9
公式是(a+b)²=a²+2ab+b²
1.(x²-5)²+2(x²-5)+1
=[(x^2-5)+1]^2
=[x^2-4]^2
=[(x+2)(x-2)]^2
2.x²+xy+y²
=(x+y/2)^2+(3y^2/4)
3.2x²-4x+2
=2(x^2-2x+1)
=2(x-1)^2
4.x³-6x²+9x
=x(x^2-6x+9)
=x(x-3)^2
5.y³-4y²+4y
=y(y^2-4y+4)
=y(y-2)^2
6.x²y²+6xy+9
=(xy+3)^2
1. (x²-5)²+2(x²-5)+1
=[(x^2-5)+1]^2
=[x^2-4]^2
=[(x+2)(x-2)]^2
2. x²+xy+y²
=(x+y/2)^2+(3y^2/4) 不可分解
3. 2x²-4x+2
=2(x^2-2x+1)
=2(x-1...
全部展开
1. (x²-5)²+2(x²-5)+1
=[(x^2-5)+1]^2
=[x^2-4]^2
=[(x+2)(x-2)]^2
2. x²+xy+y²
=(x+y/2)^2+(3y^2/4) 不可分解
3. 2x²-4x+2
=2(x^2-2x+1)
=2(x-1)^2
4. x³-6x²+9x
=x(x^2-6x+9)
=x(x-3)^2
5. y³-4y²+4y
=y(y^2-4y+4)
=y(y-2)^2
6. x²y²+6xy+9
=(xy+3)^2
收起
1.(x²-5)²+2(x²-5)+1
=[(x²-5)+1]²=(x²-4)²
=(x+2)²(x-2)²
2.x²+xy+y²
本题在实数范围内不可分解
3.2x²-4x+2
=2(x²-2x+1)
=2...
全部展开
1.(x²-5)²+2(x²-5)+1
=[(x²-5)+1]²=(x²-4)²
=(x+2)²(x-2)²
2.x²+xy+y²
本题在实数范围内不可分解
3.2x²-4x+2
=2(x²-2x+1)
=2(x-1)²
4.x³-6x²+9x
=x(x²-6x +9)
=x(x-3)²
5.y³-4y²+4y
=y(y²-4y +4)
=y(y-2)²
6.x²y²+6xy+9
=(xy)²+6xy+9
=(xy+3)²
收起
1 .(x²-5+1)²=.(x²-4)²
2 . x²+xy+y² =x²+xy+1/4y² +3/4+y² =(x+1/2y)² +3/4+y²
3 . 2(x-1)²
4 .x(x²-6x+9)=x(x-3)²
5 . y(y ²-4y+4)=y(y-2)²
6.(xy+3)²