Question

if x-y=2 and xy = 15 find x square + y square and x cube - y cube​

Answer 1

Answer:

mate the 1st ans is 34 but i don't no the second

Step-by-step explanation:

x^2+y^2

=(x-y)^2 + 2xy

=(2)^2 + 2*15

=4 + 30

34

Answer 2

ANSWER:

$x - y = 2 - - - - (1) \\ xy = 15 - - - (2) \\ \: squaring \: (1) \\ { (x - y)}^{2} = 4 \\ = > {x }^{2} + {y}^{2} - 2xy = 4 \\ = > {x}^{2} + {y}^{2} = 4 + 2xy \\ = > {x}^{2} + {y}^{2} = 34 \: \: \: \: (substituting \: from \: (2) \: ) \\ \\ cubing(1) \\ {(x - y)}^{3} = 8 \\ = > {x}^{3} - 3 {x}^{2}y + 3x {y}^{2} - {y}^{3} = 8 \\ = > {x}^{3} - {y}^{3} - 3xy(x - y) = 8 \\ = > substituting \: value \: from \: (1) \: nd \: (2) \\ = > {x}^{3} - {y}^{3} - 45(2) = 8 \\ = > {x}^{3} - {y}^{3} = 98$

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