Chapter 8.1, Problem 14P

Simplify. $315x^2-30x^2$

To determine

To simplify: $315x^2-30x^2$

Answer to Problem 14P

  $285x^2$

Explanation of Solution

Concept Used:

Degree of monomial: It is equal to the sum of all the exponents of the variables in the monomial.

Calculation:

Consider the given expression,

  $315x^2-30x^2=315x^2+\left(-30\right)x^2$

Here, the terms $315x^2$ and $-30x^2$ are the like terms as they both have same set of variables with the same exponents.

Now while adding the like terms only their coefficients are added while the variable part is kept as it is. So,

  $\begin{array}{c}315x^2-30x^2=315x^2+\left(-30\right)x^2\\ =\left(315+\left(-30\right)\right)x^2\\ =\left(315-30\right)x^2\\ =285x^2\end{array}$