Question

if a²+b²=34 and ab=15, then find a-b​

Answer 1

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Answer 2

• The value of (a - b) = 2

Step-by-step explanation:

Given:

• a²+b² = 34
• ab = 15

To find:

The value of (a - b) =?

Now,

We can use,

• (a - b)² = a² + b² - 2ab

Now, putting the values accordingly,

⇒ (a - b)² = 34 - 2 * (15)

⇒ (a - b)² = 34 - 30

⇒ (a - b)² = 4

⇒ (a - b) = √4

⇒ (a - b) = 2

Thus,

The value of (a - b) is 2

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More Information:

About Algebraic Identities-

• (a + b)² = a² + b² + 2ab
• (a + b)² - (a - b)² = 4ab
• (a² - b²) = (a + b)(a - b)
• (a + b + c)² = a² + b² + c² + 2(ab + bc + ac)
• (a + b)³ = a³ + b³ + 3ab(a + b)
• OR (a + b)³ = a³ + b³ + 3a²b + 3ab²
• a³ + b³ + c³ -3abc = (a + b + c)(a² + b² + c² - ab - bc - ca)