Question

Subtract:

2x³ − 4x² + 3x + 5 from 4x³ + x² + x + 6

Answer 1

\[ \left( 4 x^3 + x^2 + x + 6 \right) - \left( 2 x^3 - 4 x^2 + 3x + 5 \right)\]

\[ = 4 x^3 + x^2 + x + 6 - 2 x^3 + 4 x^2 - 3x - 5\]

\[ = 4 x^3 - 2 x^3 + x^2 + 4 x^2 + x - 3x + 6 - 5 \text { (Collecting like terms })\]

\[ = 2 x^3 + 5 x^2 - 2x + 1 (\text { Combining like terms })\]