if X + Y is equals to 15 x y is equals to 16 find the value of x square minus y square
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The value of (x²-y²) will be "15". Further explanation is given below.
Step-by-step explanation:
Given values is
x+y=15 and xy=16
Then,
(x-y)²=(x+y)²-4xy
On putting the values of (x+y) and (xy) in the above formula, we get
⇒ (x-y)²= (15)²-4×16
⇒ = 15×15-4×16
⇒ = 225-64
⇒ (x-y)²= 161
⇒ (x-y) =
As we know,
(x²-y²)= (x+y) (x-y)
On putting the values of (x+y) and (x-y) in the above formula, we get
⇒ (x²-y²)= (15) ()
⇒ = 15
Learn more:
find the value of x square + y square ...
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