Question

If x - y = 5 and x • y = 3 then find x³ - y³ = ?​

Answer 1

Answєr :-

Gívєn :-

x - ʏ = 5 - ①

Squαríng on both thє sídєs wє gєt ↓

x² - 2xʏ + ʏ² = 25

Gívєn :-

xʏ = 3 - ②

x² - 2 ( 3 ) + ʏ² = 25

x² - 6 + ʏ² = 25

x² - ʏ² = 19 - ③

Now ,

x³ - ʏ³ = ( x - ʏ ) ( x² + xʏ + ʏ² )

From ① , ② , ③ wє gєt ↓

x³ - ʏ³ = 5 ( 19 + 3 )

= 21 × 5

= 110

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