Question

(6a+ ___ )^ 2 = ____+ ____+25b^ 2

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

To complete the expression (6a + ___)^2 = ____ + ____ + 25b^2, you need to expand the square on the left-hand side of the equation. The square of a binomial (6a + x)^2 can be expanded using the formula (a + b)^2 = a^2 + 2ab + b^2. In this case:

a = 6a b = ___ (we need to find this value)

So, expanding (6a + x)^2:

(6a + x)^2 = (6a)^2 + 2(6a)(x) + x^2

Now, we want this expression to equal ____ + ____ + 25b^2, which means:

(6a)^2 + 2(6a)(x) + x^2 = ____ + ____ + 25b^2

Let's solve for the missing values:

1. (6a)^2 = 36a^2
2. 2(6a)(x) = 12ax
3. x^2 = 25b^2

Now, we can fill in the blanks:

(6a + x)^2 = 36a^2 + 12ax + 25b^2

So, the completed expression is:

(6a + 5b)^2 = 36a^2 + 12ab + 25b^2