Question

Subtract the polynomials

Answer 1

`\left(5 x^(2)+6\right)-\left(6 x-5 x^(2)\right)=10 x^(2)-6 x+6`

Solution:

Given polynomial is
`\left(5 x^(2)+6\right)-\left(6 x-5 x^(2)\right)`.

To subtract the given polynomials.

`\left(5 x^(2)+6\right)-\left(6 x-5 x^(2)\right)`

In this polynomial – goes inside the two terms of 2nd polynomial.

`=5 x^(2)+6\right-6 x-(-5 x^(2))`

Negative of negative is positive.

`=5 x^(2)+6\right-6 x+5 x^(2)`

Arrange the like terms together.

`=5 x^(2)+5 x^(2)+6\right-6 x`

`=10 x^(2)+6\right-6 x`

Writing the terms from highest to lowest degree.

`=10 x^(2)-6 x+6`

`\left(5 x^(2)+6\right)-\left(6 x-5 x^(2)\right)=10 x^(2)-6 x+6`.

The answer is not in the given option.

This is the correct answer.