Question

Find an expression which represents the difference when (6x-3y) is subtracted from (9x+2y) in simplest terms.

Answer 1

Answer:

$3x+5y$

Step-by-step explanation:

Subtract (6x-3y) from (9x+2y):

$(9x+2y)-(6x-3y)$

This can also be seen as:

$(9x+2y)-1(6x-3y)$

Distribute the -1 to (6x-3y):

$(9x+2y)-1(6x)-1(-3y)\\\\(9x+2y)-6x+3y$

Simplify the parentheses:

$9x+2y-6x+3y$

Group like terms:

$(9x-6x)+(2y+3y)$

Combine:

$3x+5y$

This expression can't be further simplified. Therefore, 3x+5y is the answer.

:Done