Q. 47 - Intermediate Algebra

Question

In the following exercises, subtract the polynomials. 

$\text{ Subtract }\left(9x^2+2\right)\text{ from }\left(12x^2-x+6\right)$

Step-by-Step Solution

Answer

On subtracting $\left(9x^2+2\right)\text{ from }\left(12x^2-x+6\right)$ we get $3x^2-x+4$

Step 1. Given information

$\begin{array}{l}\text{The given expressions are}\\ \left(9x^2+2\right)\text{ and }\left(12x^2-x+6\right)\\ \text{We have to subtract }\left(9x^2+2\right)\text{ from }\left(12x^2-x+6\right)\\ i.e\text{ To find : }\left(12x^2-x+6\right)-\left(9x^2+2\right)\end{array}$

Step 2. Subtract the polynomials

$\begin{array}{l}\Rightarrow \left(12x^2-x+6\right)-\left(9x^2+2\right)\\ =12x^2-x+6-9x^2-2\left[\text{Rewrite without parentheses}\right]\\ =12x^2-9x^2-x+6-2\left[\text{Combine the like terms}\right]\\ =3x^2-x+4\left[\text{Simplify}\right]\end{array}$