Question

(3х+4)²-(3х-2)(3х+2)​

Answer 1

Ответ:

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(3х + 4)² - (3х - 2)(3х + 2)​ = 9x² + 24x + 16 - (9x² - 4) = 9x² + 24x + 16 - 9x² + 4 = 24x + 20

Раскрыли скобки по ФСУ

(a + b)² = a² + 2ab + b²

(a - b)(a + b) = a² - b²

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Answer 2

To simplify the expression (3x + 4)² - (3x - 2)(3x + 2), you can expand both parts of the expression and then subtract the second part from the first.

First, let's expand each part:

1. (3x + 4)² = (3x + 4)(3x + 4) = 9x² + 12x + 12x + 16 = 9x² + 24x + 16

2. (3x - 2)(3x + 2) = 9x² + 6x - 6x - 4 = 9x² - 4

Now, subtract the second part from the first:

(9x² + 24x + 16) - (9x² - 4)

When you subtract, you change the sign of each term in the second expression and then combine like terms:

9x² + 24x + 16 - 9x² + 4

Now, combine like terms:

(9x² - 9x²) + 24x + 16 + 4

The first two terms (9x² - 9x²) cancel each other out:

0 + 24x + 16 + 4

Now, add the constants:

24x + 20

So, the simplified expression is 24x + 20.