Question

$a {}^{2} + ac + bc - b {}^{2}$
Factorise the following (class 8th)

Answer 1

Hi !

Solution :-

=> a² + ac + bc - b²

=> a² - b² + ac + bc

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

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

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Hope it helps you !!!

@Rajukumar111

Answer 2

Factorize:- a²+ac+bc-b²

Now, We will do like this,

⇒a²-b²+ac+bc

{We know that the factor formula for a²-b²=(a+b)(a-b)}

⇒(a+b)(a-b)+ac+bc

Taking out 'c' as common in ac+bc

⇒(a+b)(a-b)+c(a+b)

Now (a+b) are taken as common,

⇒(a+b)(a-b+c)

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