Question

Simplify (a+b) (2a – 3b +c) –c(2a-3b)​

Answer 1

Answer:

$2a {}^{2} - 3ab + ac + 2ab - 3b {}^{2} + cb - 2ac + 3bc$

$2a {}^{2} - 3b {}^{2} - 3ab + 2ab + ac - 2ac + bc + 3bc$

$2a {}^{2} - 3b {}^{2} - ab - ac + 4cb$

Answer 2

Step-by-step explanation:

Here there are two expressions

1st expression = (a+b) (2a - 3b+c)

2nd expression = (2a-3b)c

solving 1st expression

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

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

= (a×2a) - (a×3b) + (a×c) + (b×2a) - (b×3b) + (b×c)

= 2a²- 3ab + ac + 2ab - 3b² + bc

= 2a² - 3b² + ac + bc - 3ab + 2ab

= 2a² - 3b² + ac + bc - ab.

now solving 2nd expression

(2a - 3b) c = 2ac - 3bc

now , our expression is

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

= 2a² - 3b² + ac + bc - ab - ( 2ac - 3bc )

= 2a² - 3b² + ac + bc - ab - 2ac + 3bc

= 2a² - 3b² - ab + ( ac - 2ac ) + ( bc + 3bc )

= 2a² - 3b² - ab - ac + 4bc

hope it's help you

@priya.