Question
Answer
$$-5s^4t^3(3s^5t-7s)+4s^3\cdot2s^6t^4=-7s^9t^4+35s^5t^3$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-5s^4t^3(3s^5t-7s)+4s^3\cdot2s^6t^4& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-5s^4t^3(3s^5t-7s)+8s^9t^4 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-(15s^9t^4-35s^5t^3)+8s^9t^4 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-15s^9t^4+35s^5t^3+8s^9t^4 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle4}{\textcircled {4}} } }}}-7s^9t^4+35s^5t^3\end{aligned} $$ | |
| ① | $$ 4 s^3 \cdot 2 s^6 t^4 = 8 s^{3 + 6} t^{4} = 8 s^9 t^4 $$ |
| ② | Multiply $ \color{blue}{5s^4t^3} $ by $ \left( 3s^5t-7s\right) $ $$ \color{blue}{5s^4t^3} \cdot \left( 3s^5t-7s\right) = 15s^9t^4-35s^5t^3 $$ |
| ③ | Remove the parentheses by changing the sign of each term within them. $$ - \left(15s^9t^4-35s^5t^3 \right) = -15s^9t^4+35s^5t^3 $$ |
| ④ | Combine like terms: $$ \color{blue}{-15s^9t^4} +35s^5t^3+ \color{blue}{8s^9t^4} = \color{blue}{-7s^9t^4} +35s^5t^3 $$ |
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