Question

Add the polynomials (Simplify) (6x^2 -2x y+4y^2) + ( 4x^2 - 5xy)

Answer 1

Given that,

To add the polynomial.

we get,

`(6x^2-2xy+4y^2)+(4x^2-5xy)`

To add the polynomial we follow the following steps,

1)Remove all parentheses. It is recommended to write the problem vertically as this makes the next steps easier to visualize. When adding, we have to distribute the positive sign, which does not change any of the signs.

2)Combine like terms.Remember that to combine like terms, the variables and powers of each term must be the same.

we get,

`=(6+4)x^2-(2+5)xy+4y^2`
`=10x^2-7xy+4y^2`

Answer is:

`=10x^2-7xy+4y^2`