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Question
Simplify: 2x2(x3 − x) − 3x(x4 + 2x) − 2(x4 − 3x2)
Solution
To simplify, we will use distributive law as follows:
\[2 x^2 \left( x^3 - x \right) - 3x\left( x^4 + 2x \right) - 2\left( x^4 - 3 x^2 \right)\]
\[ = 2 x^5 - 2 x^3 - 3 x^5 - 6 x^2 - 2 x^4 + 6 x^2 \]
\[ = 2 x^5 - 3 x^5 - 2 x^4 - 2 x^3 - 6 x^2 + 6 x^2 \]
\[ = - x^5 - 2 x^4 - 2 x^3\]
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