Question

Divide 8a3 + 27b3 by 2a + 3b using formula.​

Answer 1

Step-by-step explanation:

We have,

2a+3b+c=0

2a+3b=−c …….. (1)

On taking cube both sides, we get

(2a+3b)

3

=(−c)

3

8a

3

+27b

3

+3×2a×3b(2a+3b)=−c

3

8a

3

+27b

3

+18ab(2a+3b)=−c

3

From equation (1),

8a

3

+27b

3

+18ab(−c)=−c

3

8a

3

+27b

3

−18abc=−c

3

8a

3

+27b

3

+c

3

=18abc

Hence, proved.

Answer 2

Hope this helps.........