Which is equivalent to the following expression? (3x2+5xy−2y2)+(x2+3xy−y2) (1 point) Responses (4x2+5xy−3y2) open paren 4 x squared plus 5 x y minus 3 y squared close paren (4x2+8xy−3y2) open paren 4 x squared plus 8 x y minus 3 y squared close paren (4x2+8xy+3y2) open paren 4 x squared plus 8 x y plus 3 y squared close paren (4x2−8xy−2y2)
To find the equivalent expression, you simply need to combine like terms from both expressions:
(3x^2 + 5xy - 2y^2) + (x^2 + 3xy - y^2)
Combine the x^2 terms:
3x^2 + x^2 = 4x^2
Combine the xy terms:
5xy + 3xy = 8xy
Combine the y^2 terms:
-2y^2 - y^2 = -3y^2
So the equivalent expression is:
4x^2 + 8xy - 3y^2
Thus, the correct equivalent expression is:
(4x^2 + 8xy - 3y^2)