Question

If x – y = 9 and xy= 14 find the value of : (a) x^2 + y^2 (b) x^2 – y^2

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

$x - y = 9 \\ xy = 14$

$x - y = 9$

$( {x - y})^{3} = {9}^{3}$

$= {x}^{3} - {y}^{3 } - 3xy(x - y) = 729$

$= {x}^{3} - {y}^{3} - 3 \times 14 \times 9 = 729$

${x}^{3} - {y}^{3} = \frac{729}{ - 378}$

${x}^{3} - {y}^{3} = \frac{27}{14}$

b)