Question

Date:
what should be added to x²+xy+y² to obtain 2x² + 3xy ?
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Answer 1

Answer:

Let "a" be added to x^2 + xy +y^2 to obtain 2x^2 + 3xy

So a = 2x^2 + 3xy - (x^2 + xy + y^2)

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

= x^2 + 2xy - y^2.  

So x^2 + 2xy - y^2 must be added.

                  or

To get the algebraic expression to be added, subtract (x2 + xy + y2) from (2x2 + 3xy)  

That is (2x2 + 3xy) – (x2 + xy + y2)

= 2x2 + 3xy – x2 – xy – y2

= x2 + 2xy – y2

Answer 2

Step-by-step explanation:

Verify the attachment to get the step. Answer comes x²+2xy-y².

2x²-x²=x²

3xy-xy=2xy

0-y²=(-y²)

{Note: There is nothing from which y² is to be subtracted . So ,we will consider 0 there and 0 - y² will definitely give (-y²).}

HOPE IT HELPS YOU .