Question

sum of 3x² + 4x - 2y² and -x² + 3x - 2y²

Answer 1

Answer:

Sum of 3x

2

+2xy−2y

2

and 5y

2

−7xy

=3x

2

+2xy−2y

2

+5y

2

−7xy

=3x

2

−5xy+3y

2

Now

5x

2

+2y

2

−3xy

3x

2

+3y

2

−5xy

− − +

--------------------------

2x

2

−y

2

+2xy

------------------------

=2x

2

+2xy−y

2

Answer 2

Answer:

$\sf \underline{Solution}$

$\rightarrow \tt3 {x}^{2} + 4x - 2 {y}^{2} + ( { - x})^{2} + 3x - 2 {y}^{2}$

$\rightarrow \tt3 {x}^{2} + 4x - 2 {y}^{2} { - x}^{2} + 3x - 2 {y}^{2}$

In standard form

$\rightarrow \tt3 {x}^{2} - {x}^{2} - 2 {y}^{2} - 2 {y}^{2} + 4x + 3x$

Now we solve,

$\rightarrow \tt3 {x}^{2} - {x}^{2} - 2 {y}^{2} - 2 {y}^{2} + 4x + 3x$

$\rightarrow \tt{ \red{2 {x}^{2} - 4 {y}^{2} + 7x}}$