Question

simplify like terms 3a-2b-ab-(a-b+ab)+3ab+b-a

Answer 1

3a-2b-ab-(a-b+ab)+3ab+b-a
3a-2b-ab-a+b-ab+3ab+b-a
3a-a-a-2b+b+b-ab-ab+3ab
3a-2a-2b+2b-2ab+3ab
a+ab
a(1+b)

Answer 2

On simplification we get $3a - 2b - ab- (a - b+ ab) + 3ab + b - a = a + ab\ or\ a( 1 + b)$

Concept used:

• First, solve a simple bracket ().
• If there is a negative sign (-) before the bracket the signs inside the bracket will change.
• Arrange the like terms together and then simplify.

Given:

$3a - 2b - ab- (a - b+ ab) + 3ab + b - a$

To find: Simplify the given like terms

Solution:

Step1: Solve simple bracket ()

$3a - 2b - ab -(a - b+ ab) + 3ab + b - a\\\ = 3a - 2b - ab - a + b - ab + 3ab + b - a$

Step2: Collect the like terms and simplify

$= (3a - a - a) + (b + b - 2b) + (3ab - ab - ab)\\\ = (3a - 2a ) + (2b - 2b ) + (3ab - 2ab)\\\ = 1a + 0 + 1ab\\\ = a + ab\\\ = a (1 + b)$

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