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Question
Subtract:
2x3 − 4x2 + 3x + 5 from 4x3 + x2 + x + 6
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Solution
\[ \left( 4 x^3 + x^2 + x + 6 \right) - \left( 2 x^3 - 4 x^2 + 3x + 5 \right)\]
\[ = 4 x^3 + x^2 + x + 6 - 2 x^3 + 4 x^2 - 3x - 5\]
\[ = 4 x^3 - 2 x^3 + x^2 + 4 x^2 + x - 3x + 6 - 5 \text { (Collecting like terms })\]
\[ = 2 x^3 + 5 x^2 - 2x + 1 (\text { Combining like terms })\]
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