Given that a^2-b^2=0280 and a+b = 20, find the value of a-b.
Correction a^2-b^2 = *-280*
well,
a^2 - b^2 = (a+b)(a-b)
-280 = 20(a-b)
finish it up
To find the value of a-b, we can use the given equations a^2 - b^2 = 0280 and a + b = 20.
First, let's try to simplify the equation a^2 - b^2 = 0280. Notice that a^2 - b^2 is a difference of squares. We can rewrite it as (a + b)(a - b) = 0280.
Now, we can substitute the value of a + b into the equation. Since a + b = 20, we have:
(20)(a - b) = 0280
Dividing both sides of the equation by 20, we get:
a - b = 0280 / 20
Simplifying further, we have:
a - b = 14
Therefore, the value of a-b is 14.