Question

answer the question plz​

Answer 1

Step-by-step explanation:

Given,

x - y = 2

xy = 15

(x - y)² = x² + y² - 2xy

(2)² = x² + y² - 2×15

4 = x² + y² - 30

x² + y² = 34

(x - y)³ = x³ - y³ - 3xy(x - y)

(2)³ = x³ - y³ - 3×15×(2)

8 = x³ - y³ - 90

x³ - y³ = 98

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Answer 2

${x}^{2} + {y}^{2} = (x - y) {}^{2} + 2xy \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 {}^{2} + 2 \times 15 = 4 + 30 = 34 \\ x {}^{3} - {y}^{3} = (x - y)( {x}^{2} + xy + {y}^{2} ) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2(34 + 15) = 2 \times 49 = 98$

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