What is (15x^4+20x^3)/(5x^2) ?

The solution to (15x^4+20x^3)/(5x^2) is x(3x+4)

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simplify (15x^4+20x^3)/(5x^2)

simplify

\frac{15 x ^{4} + 20 x ^{3}}{5 x ^{2}}

x (3 x + 4)

Solution steps

\frac{15 x ^{4} + 20 x ^{3}}{5 x ^{2}}

Factor

15 x^{4} + 20 x^{3} : 5 x^{3} (3 x + 4)

= \frac{5 x ^{3} ( 3 x + 4 )}{5 x ^{2}}

Cancel the common factor:

5

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

x^{3} = x^{2} x

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

Cancel the common factor:

x^{2}

= x (3 x + 4)

16 \cdot \frac{40}{100} + 3 x \cdot \frac{60}{100}

\frac{( x ^{3} + x ^{2} + x + 6 )}{( x + 2 )}

((a \frac{3}{100} a [7]) - a [10]) \cdot a [5]

4 x^{3} + 2 x - 6

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