What is (4x^3+x+1)/(2x^2-x+1) ?

The solution to (4x^3+x+1)/(2x^2-x+1) is 2x+1

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simplify (4x^3+x+1)/(2x^2-x+1)

simplify

\frac{4 x ^{3} + x + 1}{2 x ^{2} - x + 1}

2 x + 1

Solution steps

\frac{4 x ^{3} + x + 1}{2 x ^{2} - x + 1}

Factor

4 x^{3} + x + 1 : (2 x + 1) (2 x^{2} - x + 1)

= \frac{( 2 x + 1 ) ( 2 x ^{2} - x + 1 )}{2 x ^{2} - x + 1}

Cancel the common factor:

2 x^{2} - x + 1

= 2 x + 1

49 x^{4} - 4 y^{2}

\frac{( x + y ) ^{3} - x ^{3}}{y}

100 + 8 - (- 8)

6 i - (14 - i) + (5 - 3 i)

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