Question
Answer
$$(6x-9-2x)(8+5x-5)=20x^2-33x-27$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(6x-9-2x)(8+5x-5)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}(4x-9)(5x+3) \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}20x^2+12x-45x-27 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}20x^2-33x-27\end{aligned} $$ | |
| ① | Combine like terms: $$ \color{blue}{6x} -9 \color{blue}{-2x} = \color{blue}{4x} -9 $$Combine like terms: $$ \color{blue}{8} +5x \color{blue}{-5} = 5x+ \color{blue}{3} $$ |
| ② | Multiply each term of $ \left( \color{blue}{4x-9}\right) $ by each term in $ \left( 5x+3\right) $. $$ \left( \color{blue}{4x-9}\right) \cdot \left( 5x+3\right) = 20x^2+12x-45x-27 $$ |
| ③ | Combine like terms: $$ 20x^2+ \color{blue}{12x} \color{blue}{-45x} -27 = 20x^2 \color{blue}{-33x} -27 $$ |
This page was created using
Simplify polynomials calculator