Question

If 2a + b = 5 and ab = 3,
then find 4a2 + b2​

Answer 1

Answer :-

4a² + b² = 13.

Explanation :-

Given Values :

• 2a + b = 5.
• ab = 3.

To Find :

• 4a² + b²

Solution :

We are given with expression,

2a + b = 5.

By Squaring Both Sides,

⇒ (2a + b)² = 5²

Now, Use Identity :- (a + b)² = a² + b² + 2ab.

⇒ 4a² + b² + 2ab = 25.

⇒ 4a² + b² + 2(2ab) = 25.

⇒ 4a² + b² + 4ab = 25.

Put the value of ab.

⇒ 4a² + b² + 4(3) = 25.

⇒ 4a² + b² + 12 = 25.

⇒ 4a² + b² = 25 - 12.

⇒ 4a² + b² = 13.

Therefore, 4a² + b² = 13.

Answer 2

Hey Mate,

Here's your answer,

___________________

=> ab = 3

Ques : ⤵

${4a}^{2 } + {b}^{2}$

Ans : ⤵

${4 \times 3}^{2} + {3}^{2}$

=> ⤵

$4 \times 9 + 9$

=> ⤵

$36 + 9$

=> ⤵

$45$

__________________

$hope \: it \: helps$