Simplify :
$3 a - 2 b - a b - (a - b + a b) + 3 a b + b - a$

Open in App

Solution

We have,
$3 a - 2 b - a b - (a - b + a b) + 3 a b + b - a$
$= 3 a - 2 b - a b - a + b - a b + 3 a b + b - a$
$= 3 a - a - a - 2 b + b + b - a b - a b + 3 a b$
$= 3 a - 2 a - 2 b + 2 b - 2 a b + 3 a b$
$= a + a b$
$= a (1 + b)$ .

Suggest Corrections

Similar questions

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

Question 1 (iv)

Simplify combining like terms:

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

a b^{2} - 2 a - a^{2} b - 3 a^{2} + 2 b + 3 a b

Simplify combining like terms:

(i) 21b − 32 + 7b − 20b

(ii) − z² + 13z² − 5z + 7z³ − 15z

(iii) p − (p − q) − q − (q − p)

(iv) 3a − 2b − ab − (a − b + ab) + 3ab + b − a

(v) 5x²y − 5x² + 3y x² − 3y² + x²− y²+ 8xy² −3y²

(vi) (3 y²+ 5y − 4) − (8y − y² − 4)

State True or False:

On subtracting $a^{2} + a b + b^{2}$ from $4 a^{2} - 3 a b + 2 b^{2}$ , the answer is $3 a^{2} - 4 a b + b^{2}$ .

Join BYJU'S Learning Program