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

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

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expand (4x^2+3x^3)/(2x^2+3x^3)

expand

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

\frac{4 + 3 x}{2 + 3 x}

Solution steps

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

Factor

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

= \frac{x ^{2} ( 4 + 3 x )}{2 x ^{2} + 3 x ^{3}}

Factor

2 x^{2} + 3 x^{3} : x^{2} (2 + 3 x)

= \frac{x ^{2} ( 4 + 3 x )}{x ^{2} ( 2 + 3 x )}

Cancel the common factor:

x^{2}

= \frac{4 + 3 x}{2 + 3 x}

(e + e^{2 x})^{3} + 6 e^{2 x} x (e + e^{2 x})^{2}

\frac{x + x ( y + z ^{2} )}{( x + π ) ( y + π )}

12 (- 0.5)^{2} + 12 (- 0.5)

2 (x + π y)^{5}

(1 + e^{x}) e^{2 x}

What is expand (4x^2+3x^3)/(2x^2+3x^3) ?
The solution to expand (4x^2+3x^3)/(2x^2+3x^3) is (4+3x)/(2+3x)