- Calculators
- ::
- Polynomial calculators
- ::
- Expand and Simplify Polynomials
Simplify polynomials calculator
This calculator simplifies polynomials as much as possible. Calculator works with polynomials in one or more variables. For example calculator can simplify expressions such as 2(x+1)-4(x-2)+3(3-4x) or (a+b)3-(a-b)3. The calculator shows all the steps and easy-to-understand explanations of how the problem was solved.
solution
$$(x-3)(x+5)=x^2+2x-15$$explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(x-3)(x+5)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}x^2+5x-3x-15 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}x^2+2x-15\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{x-3}\right) $ by each term in $ \left( x+5\right) $. $$ \left( \color{blue}{x-3}\right) \cdot \left( x+5\right) = x^2+5x-3x-15 $$ |
| ② | Combine like terms: $$ x^2+ \color{blue}{5x} \color{blue}{-3x} -15 = x^2+ \color{blue}{2x} -15 $$ |
1. Step-by-step guide to simplifying polynomial expressions.
2. Polynomial expressions, equations and functions — Khan Academy.
3. Simplifying polynomials by combining like terms and by using FOIL technique.
4. Polynomial factoring calculator (shows all steps).