Question
Answer
$$(5x^2-14x+8)(x^2-25)=5x^4-14x^3-117x^2+350x-200$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}(5x^2-14x+8)(x^2-25)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}5x^4-125x^2-14x^3+350x+8x^2-200 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}5x^4-14x^3-117x^2+350x-200\end{aligned} $$ | |
| ① | Multiply each term of $ \left( \color{blue}{5x^2-14x+8}\right) $ by each term in $ \left( x^2-25\right) $. $$ \left( \color{blue}{5x^2-14x+8}\right) \cdot \left( x^2-25\right) = 5x^4-125x^2-14x^3+350x+8x^2-200 $$ |
| ② | Combine like terms: $$ 5x^4 \color{blue}{-125x^2} -14x^3+350x+ \color{blue}{8x^2} -200 = 5x^4-14x^3 \color{blue}{-117x^2} +350x-200 $$ |
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