Question

1) (2х + 5)^2 2) 4х + 5^2 3) 4х^2 + 5 4) (4х + 5)^2

Answer 1

Ответ:

4x2(в квадрате) + 10 2. 4х + 10 3. 8хв квадрате + 5 4. 8х в квадрате + 10

Answer 2

Ответ:

Все находится в объяснении.

Объяснение:

1) (2х + 5)²=7x²=7x•7x49x

2) 4x+5²=4х+5•5=4х+25=29х

3) 4х² + 5=4х•4х+5=16х+5=21х

4) (4х + 5)²=9х²=9х•9х=81х

Answer 3

Let's simplify the given expressions:

1. $(2x + 5)^2$

To expand this expression, we can use the formula for squaring a binomial: $(a + b)^2 = a^2 + 2ab + b^2$.

In this case, $a = 2x$ and $b = 5$. Plugging these values into the formula, we get:

$(2x + 5)^2 = (2x)^2 + 2(2x)(5) + 5^2 = 4x^2 + 20x + 25$

So, the simplified form is $4x^2 + 20x + 25$.

2. $4x + 5^2$

Here, $5^2$ means $5$ raised to the power of $2$, which is $25$.

So, $4x + 5^2 = 4x + 25$.

3. $4x^2 + 5$

This expression cannot be simplified further as it is already in its simplest form.

4. $(4x + 5)^2$

Using the same formula as in the first expression, we have:

$(4x + 5)^2 = (4x)^2 + 2(4x)(5) + 5^2 = 16x^2 + 40x + 25$

Thus, the simplified form is $16x^2 + 40x + 25$.