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Question
Simplify: x2(x2 + 1) − x3(x + 1) − x(x3 − x)
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Solution
To simplify, we will use distributive law as follows:
\[x^2 \left( x^2 + 1 \right) - x^3 \left( x + 1 \right) - x\left( x^3 - x \right)\]
\[ = x^4 + x^2 - x^4 - x^3 - x^4 + x^2 \]
\[ = x^4 - x^4 - x^4 - x^3 + x^2 + x^2 \]
\[ = - x^4 - x^3 + 2 x^2\]
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