Question

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

Answer 1

Answer:

Solving 1st expression

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

= a(2a – 3b + c) + b(2a – 3b + c)

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

= 2a2 – - 3ab + ac + 2ab 3b2 + bc

= 2a2– 3b2 + ac + bc - 3ab +2ab

= 2a2 – 3b2 + ac + bc – ab

Answer 2

Answer:

2a²-ab+3ac+3b²-2bc

Step-by-step explanation:

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

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

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

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

= 2a²-ab+3ac+3b²-2bc

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