Question

12a-9ab+5b-3
( + )4a-7ab+3b+12​

Answer 1

Step-by-step explanation:

12a-9ab+5b-3+4a-7ab+3b+12=16a-16ab+8b+9

Answer 2

The answer is $8a -16ab -2b+9$ .

Step-by-step explanation:

This question involves the addition and subtraction of variables.

Point to remember:

• Same variables can be added or subtracted. That is, x can be added with x, y can be added with y, and so on.
• The addition is done when the same sign is present, subtraction is done when signs are different.

Keeping the rules in mind, let us solve the given question: $12a-9ab-5b-3(+) 4a-7ab+3b+12$

The addition does not change the sign of the numbers, thus, we get,

= $12a-9ab-5b-3 + 4a-7ab+3b+12$

The terms with the same variables can be grouped together as follows:

= $12a + 4a-9ab -7ab-5b +3b-3 +12$

The terms with the same sign are added and the terms with different signs are subtracted to give the result:

= $8a -16ab -2b+9$