Question

intercept form, given slope and one point (point-slope formula ). This Refresher will help you grasp some prerequisite material. Question Simplify the following expression by expanding and collecting like terms. 3(3x+2)+6(-4x-3) Give your answer in the form ax+b.

Answer 1

The expression 3(3x+2)+6(-4x-3) simplifies to -15x - 12 by distributing the multiplication and then combining like terms.

Step-by-step explanation:

To simplify the expression 3(3x+2)+6(-4x-3), we must use the distributive property to expand the terms and then combine like terms. First, distribute the 3 across the first set of parenthesis and distribute the 6 across the second set of parenthesis. It becomes:

3 × 3x + 3 × 2 + 6 × (-4x) + 6 × (-3)

This simplifies to:

9x + 6 - 24x - 18

Now, combine like terms (9x and -24x are like terms, as well as 6 and -18):

(9x - 24x) + (6 - 18)

This results in:

-15x - 12

Therefore, the simplified expression is -15x - 12.