Question

Which of the following are terms in the sum of the given polynomials?

Answer 1

Answer:

The terms in the sum of the given polynomials is $3x^2,3xy^2 and,3y^2$

The sum of the given polynomials is $3x^2-2x^2y+2xy^2+4y^2+xy^2-y^2+2x^2y=3x^2+3xy^2+3y^2$

Step-by-step explanation:

Given polynomials are $3x^2,-2x^2y,2xy^2,4y^2,xy^2,-y^2,2x^2y$

Now sum the given polynomials as below :

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

$=3x^2+(2xy^2+xy^2)+(4y^2-y^2)+0$ ( combining the like terms )

$=3x^2+3xy^2+3y^2$ ( adding the like terms )

Therefore $3x^2-2x^2y+2xy^2+4y^2+xy^2-y^2+2x^2y=3x^2+3xy^2+3y^2$

Therefore the terms in the sum of the given polynomials is $3x^2,3xy^2 and,3y^2$

The sum of the polynomials is $3x^2-2x^2y+2xy^2+4y^2+xy^2-y^2+2x^2y=3x^2+3xy^2+3y^2$