Question

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

Answer 1

Step-by-step explanation:

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

a2+ac-b2-bc

a2-b2=(a+b)(a -b)

Answer 2

Answer:

The answer of given factorisation is (a-b) (a+b+c).

Step-by-step explanation:

Given:

• a( a + c) - b ( b + c)

Find:

• factorise

Need the formula:

• a^2 - b^2 = (a+b) (a-b)

Solution:

⏭ a(a+b) -b(b+c)

⏭ a^2 + ab - b^2 - bc

⏭ a^2 - b^2 + ab -bc

⏭ ( a+b)(a-b) +ab-bc

⏭ (a+b) (a-b) + c(a-b)

⏭ (a-b) (a+b+c)

.... hope it may help you