contestada

which is equivalent to the following expression? (2x^2+4xy-y^2)+(x^2+3xy-y^2)
a. 3x^2-7xy-2y^2
b. 3x^2+7xy+2y^2
c. 3x^2+7xy-2y^2
d. 3x^2-7xy+2y^2

Respuesta :

Answer C : 3x^2+7xy-2y^2

equivalent to the following expression

[tex](2x^2+4xy-y^2)+(x^2+3xy-y^2)[/tex]

[tex]2x^2+4xy-y^2+x^2+3xy-y^2[/tex]

Combine like terms

[tex]2x^2+x^2+4xy+3xy-y^2-y^2[/tex]

2x^2 + x^2 is 3x^2

4xy+3xy is 7xy

-y^2-y^2 is -2y^2

So expression becomes

[tex]3x^2+7xy-2y^2[/tex]

Answer  C is correct