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.