Question

2(3x-2y)(3x+2y)решите подробно

Answer 1

Ответ:

Объяснение:

2 · (3x - 2y)(3x + 2y) = 2 · ((3x)² - (2y)²) = 2 · (9x² - 4y²) = 18x² - 8y²

Для решения использовали формулу:

a² - b² = (a - b)(a + b)

Answer 2

To solve the expression $2(3x-2y)(3x+2y)$, we'll use the distributive property and apply the FOIL method (First, Outer, Inner, Last). The FOIL method allows us to expand the product of two binomials:

FOIL Method: $(a+b)(c+d) = ac + ad + bc + bd$

Now, let's apply this method to the given expression:

$2(3x-2y)(3x+2y)$

Step 1: Multiply the first terms: $2 \cdot 3x = 6x$

Step 2: Multiply the outer terms: $2 \cdot 2y = 4y$

Step 3: Multiply the inner terms: $-2y \cdot 3x = -6xy$

Step 4: Multiply the last terms: $-2y \cdot 2y = -4y^2$

Now, let's combine the results:

$6x + 4y - 6xy - 4y^2$

The final result after simplification is:

$6x - 6xy + 4y - 4y^2$