Question

(a+b) (2a-3b+c) - (2a-3b)​

Answer 1

Answer:

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Step-by-step explanation:

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

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(2a3b + c)

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

(b x 3b) + (b x c)

= 2a²-3ab + ac + 2ab-3b² + bc

= 2a²3b²+ac+bc-3ab +2ab

= 2a²3b²+ ac + bc - ab

Solving 2nd expression (2a3b)c = 2ac - 3bc

Now, our expression is

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

= 2a²3b²+ ac + bc- ab - (2ac3bc)

= 2a²-3b²+ ac + bc- ab 2ac + 3bc

= 2a²3b²ab + (ac - 2ac) + (bc + 3bc)

= 2a²3b²ab-ac + 4bc