Question

1. - / 2.5 points

add the following polynomials. (simplify your answer completely.)
$4x^{2}-3xy+5x-6y$
$9xy-4y^{2}+6y-4$
$x^{2}+y^{2}-x+3$
$+ -7x^{2}+xy-2y^{2}+3x-10$

Explanation:

Step1: Group like $x^2$ terms

$4x^2 + x^2 -7x^2 = (4+1-7)x^2$

Step2: Group like $xy$ terms

$-3xy + 9xy + xy = (-3+9+1)xy$

Step3: Group like $y^2$ terms

$-4y^2 + y^2 -2y^2 = (-4+1-2)y^2$

Step4: Group like $x$ terms

$5x - x + 3x = (5-1+3)x$

Step5: Group like $y$ terms

$-6y + 6y = (-6+6)y$

Step6: Group constant terms

$-4 + 3 -10 = (-4+3-10)$

Step7: Simplify each group

$=-2x^2 +7xy -5y^2 +7x +0y -11$

Answer:

$-2x^2 + 7xy - 5y^2 + 7x - 11$