What is (-1+3(dy)/(dx))(x-3y)^{-1} ?

The solution to (-1+3(dy)/(dx))(x-3y)^{-1} is (3\frac{dy)/(dx)-1}{x-3y}

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simplify (-1+3(dy)/(dx))(x-3y)^{-1}

simplify

(- 1 + 3 \frac{d y}{d x}) (x - 3 y)^{- 1}

\frac{3 \frac{d y}{d x} - 1}{x - 3 y}

Solution steps

(- 1 + 3 \frac{d y}{d x}) (x - 3 y)^{- 1}

Apply exponent rule:

a^{- 1} = \frac{1}{a}

= \frac{1}{( x - 3 y )} (3 \frac{d y}{d x} - 1)

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot ( - 1 + 3 \frac{d y}{d x} )}{x - 3 y}

1 \cdot (- 1 + 3 \frac{d y}{d x}) = - 1 + 3 \frac{d y}{d x}

= \frac{- 1 + 3 \frac{d y}{d x}}{x - 3 y}

a^{4} (b^{4} a^{6})

x \cdot 1 + 2 x

1.8 \cdot 1 0^{- 1}

1.8 \cdot 1 0^{- 8}

1.8 \cdot 1 0^{- 7}

What is (-1+3(dy)/(dx))(x-3y)^{-1} ?
The solution to (-1+3(dy)/(dx))(x-3y)^{-1} is (3\frac{dy)/(dx)-1}{x-3y}