Question

Factorise each of the following: a (a + c) – b (b + c) using identites​

Answer 1

Step-by-step explanation:

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

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

$(a + b)(a - b) + c(a + b)$

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Answer 2

Step-by-step explanation:

a(a + c) – b(b + c)

= a²+ac-b²-bc

= (a²-b²)+(ac-bc)

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

= (a-b[(a+b)+c]

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