Question

Simplify (i) (6a-7a+2c)²
(ii) (2a+3b)³​

Answer 1

Answer:

Simplify :

i. (6a - 7b +2c)²

Using the identity (a + b + c)² = a² + b² + c² +2ab +2 bc + 2ca

We have ,

(6a)² - (7b)² + (2c)² - 2.6a.7b - 2.7b.2c + 2.2c.6a

= 36a² - 49b² + 4c² - 84ab - 28bc + 24ca

______________________________

ii. (2a + 3b)³

Using the identity (a + b)³ = a³ + b³ + 3ab (a + b)

We have,

(2a + 3b)³ = (2a)³ + (3b)³ + 3.2a.3b (2a + 3b)

= 8a³ + 27b³ + 18ab (2a + 3b)

$\pink{Hope \: it \: helps}$