Question

(b – 3)(b + 3) – 3b(4 – b)

Answer 1

(b – 3)(b + 3) – 3b(4 – b) = b^2 + 3b - 3b - 9 - 12b + 3b^2 = 4b^2 - 12b - 9.
Удачи)))

Answer 2

To simplify the expression (b – 3)(b + 3) – 3b(4 – b), follow these steps:

Step 1: Expand the two sets of parentheses. Step 2: Perform any necessary operations on the resulting terms. Step 3: Combine like terms, if any.

Let's go through the steps one by one:

Step 1: Expand the two sets of parentheses:

(b – 3)(b + 3) = b * b + b * 3 - 3 * b - 3 * 3 = b^2 + 3b - 3b - 9 = b^2 - 9

Next,

-3b(4 – b) = -3b * 4 + (-3b) * (-b) = -12b + 3b^2

Step 2: Perform any necessary operations on the resulting terms.

Now, our expression becomes:

(b^2 - 9) - (12b - 3b^2)

Step 3: Combine like terms:

Combine the terms with 'b^2' and 'b':

b^2 - 3b^2 = -2b^2

Combine the terms without variables:

-9 - (-12) = -9 + 12 = 3

The simplified expression is:

-2b^2 + 3