Question

If a²-b² = 88 and a+b=22, find the value of (a−b).​

Answer 1

(a - b) = 4

Explanation:

To answer this question, we have to use the difference of squares formula, which states that:

`\boxed{a^2 - b^2 = (a+b)(a-b)}`.

The question tells us that a² - b² = 88 and a + b = 22. Therefore, if we substitute these values into the equation above and solve for (a - b), we get:

`{a^2 - b^2 = (a+b)(a-b)}`

⇒
`88 = (22) (a-b)`

⇒
`(a-b) = (88)/(22)` [Dividing both sides of the equation by 22]

⇒
`(a-b) = \bf 4`

Therefore, the value of (a - b) is 4.