Question

If,
$a>b$
Prove that,
(a+2b)²-5b² = 176

Please help me. It's urgent.​

Answer 1

Answer:

a = 8, b = 4

Step-by-step explanation:

We have a > b.

Let us take a = 3 and b = 2.

(i)

(a + 2b)² - 5b²

=> (3 + 4)² - 5(2)²

⇒ 49 - 20

=> 20

So,

20 ≠ 176(So, this condition is false)

(ii)

Let us take a = 8 and b = 4.

(a + 2b)² - 5b²

⇒ (8 + 8)² - 5(4)²

=> 256 - 80

⇒ 176

Since,

176 = 176 (The condition is true)

Therefore,

a = 8 and b = 4.

Hope this will help you. Thanks!