Question

please help in solving this problem ​

Answer 1

$\huge\boxed{Answer}$

Solution :-

=> (b+c) {(c+a)(a+b) - (c-a)(b-a)} - (a-c){(b-c)(a+b)

- (c-b)(b-a)} + (a-b) {(b-c)(c-a) - (c-b)(c+a)}

=>(b+c) {(c+a)(a+b) + (a-b)(c-a)} - (a-c) {(b-c)(a+b)

- (a-b)(b - c)} + (a-b) {(b-c)(c-a) + (b-c)(c+a)}

=> (b+c) {ac+bc+a²+ab + ac-a²-bc+ab} - (a-c)

{ab+b²-ac-bc - ab+ac+b²-bc} + 2(a-b)(b-c)c

=> (b+c){2ac + 2ab} - (a-c){2b² - 2bc} + 2c

(a - b)(b - c)

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

=> 2a(b² + 2bc + c²) + 2(b - c)(ac - bc - ab + bc)

=> 2a(b² + 2bc + c²) + 2a(b - c)(c - b)

=> 2a(b + c)² - 2a(b - c)²

=> 2a { (b + c)² - (b - c)² }

=> 2a × 4bc

=> 8abc

I hope it will help u .