Question

What must be added to the x2+xy+y2+1 to get x3+3

Answer 1

Answer:

Step-by-step explanation:

Let, the number added be a.

=> x²+xy+y²+1+a = x³+3

=> a = x³+3-(x²+xy+y²+1)

=> a = x³+3-x²-xy-y²-1

=> a = x³-x²-xy-y²+3-1

=> a = x³-x²-xy-y²+2

Answer 2

$x^3-x^2-xy-y^2+2$ should be added to the$x^2+xy+y^2+1$to get $x^3+3$

Step-by-step explanation:

We are supposed to find What must be added to the$x^2+xy+y^2+1$to get $x^3+3$

Let the required number be z

ATQ

So, $x^2+xy+y^2+1+z=x^3+3$

$z=x^3+3-x^2-xy-y^2-1$

$z=x^3-x^2-xy-y^2+2$

Hence$x^3-x^2-xy-y^2+2$ should be added to the$x^2+xy+y^2+1$to get $x^3+3$

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