Question
Answer
$$(2a+5b)(a-3b)=2a^2-ab-15b^2$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(2a+5b)(a-3b)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}2a^2-6ab+5ab-15b^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}2a^2-ab-15b^2\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{2a+5b}\right) $ by each term in $ \left( a-3b\right) $. $$ \left( \color{blue}{2a+5b}\right) \cdot \left( a-3b\right) = 2a^2-6ab+5ab-15b^2 $$ |
| ② | Combine like terms: $$ 2a^2 \color{blue}{-6ab} + \color{blue}{5ab} -15b^2 = 2a^2 \color{blue}{-ab} -15b^2 $$ |
This page was created using
Simplify polynomials calculator