Question

subtract 3ab (a-b) from 2ab(a+b)
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Answer 1

Answer :- -a²b + 5ab²

Solution

⟹ 2ab (a+b) - 3ab (a-b)

⟹ 2a²b + 2ab² - 3a²b + 3ab²

⟹ 2a²b - 3a²b + 2ab² + 3ab²

⟹ -a²b + 5ab²

Thus, Subtracted

Answer 2

Subtraction of 3ab (a-b) from 2ab(a+b) gives 5ab² - a²b

Given :

The expressions 3ab (a-b) and 2ab(a+b)

To find :

The subtraction

Solution :

Step 1 of 2 :

Write down the given expressions

The given expressions are 3ab (a-b) and 2ab(a+b)

Step 2 of 2 :

Subtract the expressions

On subtraction we get

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

$\sf = (2 {a}^{2} b + 2a {b}^{2} ) - (3 {a}^{2} b - 3a {b}^{2} )$

$\sf = 2 {a}^{2} b + 2a {b}^{2} - 3 {a}^{2} b + 3a {b}^{2}$

$\sf = 2a {b}^{2} + 3a {b}^{2} + 2 {a}^{2} b - 3 {a}^{2} b$

$\sf =( 2 + 3)a {b}^{2} + (2 - 3) {a}^{2} b$

$\sf =5a {b}^{2} - {a}^{2} b$

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