Question

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Answer 1

Answer:

a^2-b^2=48

(a-b)(a+b)=48

given that a+b=8

(a-b)×8=48

(a-b)=48/8

(a-b)=6

squaring both sides

(a-b)^2=6^2

(a-b)^2=36

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Answer 2

Answer:

a-b= 8 -(1)

ab= 48 -(2)

To find :-

a²+b²

Solution:-

Using equation -(1)and -(2), we get:-

(a-b)²= a² - 2ab +b²

⟹(8)²= a²-2(48)+b²

⟹64=a²- 96+b²

⟹a²+b²= 64+96

⟹a²+b²= 160

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