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Popular >

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

Solution

simplify

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

Solution

x (4 x + 3)

Solution steps

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

Factor

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

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

Apply exponent rule:

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

x^{2} = xx

= \frac{xx ( 4 x + 3 )}{x}

Cancel the common factor:

x

= x (4 x + 3)

Popular Examples

derivative of f(t)=t^2+5 derivative of

f (t) = t^{2} + 5

derivative of f(x)=(-3x^3-1)/(2x^2+1)derivative of

f (x) = \frac{- 3 x ^{3} - 1}{2 x ^{2} + 1}

derivative of xy-y^2

\frac{d}{d x} (x y - y^{2})

integral of (5x^3-4x+2)/(x^3-x^2)

\int \frac{5 x ^{3} - 4 x + 2}{x ^{3} - x ^{2}} d x

x(dy)/(dx)+y=2x+1,y(1)=6

x \frac{d y}{d x} + y = 2 x + 1, y (1) = 6

Frequently Asked Questions (FAQ)

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