-2x^2-6x .和6x+x^2

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-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

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