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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
$$(4k-5)(2k+3)=8k^2+2k-15$$explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(4k-5)(2k+3)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}8k^2+12k-10k-15 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}8k^2+2k-15\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{4k-5}\right) $ by each term in $ \left( 2k+3\right) $. $$ \left( \color{blue}{4k-5}\right) \cdot \left( 2k+3\right) = 8k^2+12k-10k-15 $$ |
| ② | Combine like terms: $$ 8k^2+ \color{blue}{12k} \color{blue}{-10k} -15 = 8k^2+ \color{blue}{2k} -15 $$ |
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).