What is expand (2x-1)(dy)/(dx) ?

The solution to expand (2x-1)(dy)/(dx) is 2x(dy)/(dx)-(dy)/(dx)

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expand (2x-1)(dy)/(dx)

expand

(2 x - 1) \frac{d y}{d x}

2 x \frac{d y}{d x} - \frac{d y}{d x}

Solution steps

(2 x - 1) \frac{d y}{d x}

Apply the distributive law:

a (b - c) = ab - a c

a = \frac{d y}{d x}, b = 2 x, c = 1

= \frac{d y}{d x} 2 x - \frac{d y}{d x} 1

= 2 x \frac{d y}{d x} - 1 \frac{d y}{d x}

Multiply:

1 \frac{d y}{d x} = \frac{d y}{d x}

= 2 x \frac{d y}{d x} - \frac{d y}{d x}

\frac{2400 ( s + 2 )}{s ( s + 6 ) ( s + 20 )}

\frac{( ( x + 4 ) ^{2} )}{2535}

\frac{2}{( 1 + j ) ^{4}}

sec (θ) (1 - sin^{2} (θ) = cos (θ))

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

What is expand (2x-1)(dy)/(dx) ?
The solution to expand (2x-1)(dy)/(dx) is 2x(dy)/(dx)-(dy)/(dx)