Question

please answer my question please

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Answer 1

Answer:

$x^3 - y^3 = 4634$

Step-by-step explanation:

Given x - y = 14 and xy = 45

 x - y = 14

Squaring both sides        

or, $(x - y)^2 = 14^2$

or, $x^2 + y^2 - 2xy = 196$

or, $x^2 + y^2 - 2(45) = 196$

or, $x^2 + y^2 - 90 = 196$

or, $x^2 + y^2 = 90+196$

or, $x^2 + y^2 = 286$ ---- (1)

We know that:

$x^3-y^3 = (x-y)(x^2+y^2+xy)$

Putting the above values in the formula:

$= 14(286 + 45)\\ = 14(331)\\x^3-y^3 =4634$