Question

When a=3 , b=2 ,then the value of the expression 2a2+2b2+4ab is

Answer 1

Step-by-step explanation:

we can write 2a² = (√2a)²

so, 2b² = (√2b)²

4ab = 2(√2a)(√2b)

so, we can write 2a² + 2b² + 4ab as-:

(√2a)² + (√2b)² + 2(√2a)(√2b)

using identity a²+b² +2ab = (a+b)²

=> (√2a + √2b)²

a = 3 ; b = 2

putting the values of a and b

(√2(3) + √2(2))²

(3√2 + 2√2)²

(5√2)²

25 × 2

=> 50

so the value of the given expression is 50

Answer 2

Answer:

Given a=3 , b=2 ,

the value of 2a²+2b²+4ab is

=2(a²+b²+2ab)

=2(a+b)²

=2(3+2)²

=2(5)²

=2×25

=50