Question

7. What should be subtracted from 4x2 + 2xy -3y2 to obtain x2 + y2 + 3xy?
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Answer 1

Answer:

3x^2 - xy - 4y^2

Step-by-step explanation:

let that number be x

So to x we should first substract the given expression

(4x^2 + 2xy - 3y^2) - (x^2 + y^2 + 3xy)

4x^2 + 2xy - 3y^2 - x^2 - y^2 - 3xy

(4x^2 - x^2) + (2xy - 3xy) - (3y^2 - y^2)

3x^2 - xy - 4y^2

Hope it helps !!

Answer 2

Answer:

Let X denote the required algebraic expression.

Then, (4x²+2xy - 3y²) - X = (x²+ y² + 3xy)

Hence the required expression X

$= (4x + 2xy - 3y {}^{2} ) - (x {}^{2} \: + y {}^{2} + 3xy) \\ = 4x {}^{2} + 2xy - 3 {y}^{2} - x {}^{2} - y {}^{2} - 3xy \\ = 4 {x}^{2} - x {}^{2} + 2xy - 3xy - 3y {}^{2} - y {}^{2} \\ 3 {x}^{2} - xy - 4 {y}^{2}$

✅Hence, the required algebraic expression is 3x² - xy - 4y².

HOPE IT HELPS YOU ⛄