Question

Expand (2a+3b+5)√2 using identify​

Answer 1

Solution:

☞( 2a + 3b + 5 )²

☞(2a)² + ( 3b)² + 5² + 2.2a.3b + 2.3b.5 + 2.2a.5

☞ (2a)² + ( 3b)² + 2.2a.3b + 2.3b.5 + 2.2a.5 + (5)²

☞4a² + 9b² + 25 + 12ab + 30bc + 20a

☞4a² + 9b² + 20a + 12ab + 30bc + 25

Identity Used for Solving this Question:

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

Answer 2

Answer :-

= 4a² + 9b² + 25 + 12ab + 30b + 20a

Step - by - step explanation :-

(2a + 3b + 5) ²

Using Identity,

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

(2a + 3b + 5)² = (2a)² + (3b)² + (5)² + 2 (2a) (3b) + 2 (3b) (5) + 2 (5) (2a)

= 4a² + 9b² + 25 + 12ab + 30b + 20a

So, the answer is :-

= 4a² + 9b² + 25 + 12ab + 30b + 20a