-2x^2-6x .和6x+x^2

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/18 13:39:23
-2x^2-6x.和6x+x^2-2x^2-6x.和6x+x^2-2x^2-6x.和6x+x^2①-2x²-6x=-2(x²+3x)=-2(x²+3x+(3/2)

-2x^2-6x .和6x+x^2
-2x^2-6x .和6x+x^2

-2x^2-6x .和6x+x^2
① - 2 x ² - 6 x
= - 2(x ² + 3 x)
= - 2(x ² + 3 x + (3 / 2)² ) + 2 × (3 / 2)²
= - 2 (x + 3 / 2)² + 2 × 9 / 4
= - 2(x + 3 / 2)² + 9 / 2
② 6 x + x ²
= (x ² + 6 x + 3 ² )- 3 ²
= (x + 3)² - 9
配方:配成 a ² ± 2 a b + b ² = (a ± b)²

-2x^2-6x=-2*(x^2+3x)=-2*x*(x+3)
6x+x^2=x*(6+x)

-2x^2-6x
=-2(x^2+3x)
=-2[(x+3/2)^2-9/4]
=-2(x+3/2)^2+9/2
6x+x^2
=(x+3)^2-9