answer these answers pls I am in trouble
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Given
- x-y=20,
- xy=24
To Find
- x²-y²
Formula used
- (a+b)²=a²+b²+2ab
- (a-b)²=a²+b²-2ab
- a²-b²=(a+b)(a-b)
Solution
x-y=20
xy=24
- (x-y)=20
- (x-y)²=20²
- x²+y²+2xy=400
- x²+y²+2×24=400
- x²+y²+48=400
- x²+y²=400-48
- x²+y²=352
Now
- (x+y)²=x²+y²+2xy
- (x+y)²=352+2×24
- (x+y)²=352+48
- (x+y)²=400
- (x+y)=20
Here
- x²+y²= (x+y)(x-y)
- x²+y²= (20)(20)
- x²+y²= 400
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Step-by-step explanation:
•refer to the attachment
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