-(2x+3)(2x-3)

投稿:小磨蘑菇汁 优质问答领域创作者 发布时间:2023-09-22 21:10:36
-(2x+3)(2x-3)

这是一个简单的二次方程的乘法运算。根据分配律,可以展开括号并进行乘法运算。根据给定的表达式,展开后得到:-4x^2 + 9。所以答案是-4x^2 + 9。

-(2x+3)(2x-3)

要计算表达式(2x+3)(2x-3),我们可以使用分配律来展开它。分配律规定,对于任意的a、b和c,有(a + b) * c = a * c + b * c。

所以,我们可以将表达式展开为:2x * 2x + 2x * (-3) + 3 * 2x + 3 * (-3)。

简化后得到:4x^2 - 6x + 6x - 9。

进一步简化可得:4x^2 - 9。

-(2x+3)(2x-3)

To simplify the expression (-2x + 3)(2x - 3), we can use the FOIL method, which stands for First, Outer, Inner, Last. Here's how it works:

First: Multiply the first terms of each binomial.

(-2x) * (2x) = -4x^2

Outer: Multiply the outer terms of each binomial.

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

Inner: Multiply the inner terms of each binomial.

3 * (2x) = 6x

Last: Multiply the last terms of each binomial.

3 * (-3) = -9

Now we combine the results:

-4x^2 + 6x + 6x - 9

Simplifying further, we combine like terms:

-4x^2 + 12x - 9

So, the simplified form of (-2x + 3)(2x - 3) is -4x^2 + 12x - 9.