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

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

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

expand

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

\frac{d y}{d x}^{2} - 2 \frac{d y}{d x} + 1

Solution steps

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

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

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

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

Simplify

\frac{d y}{d x}^{2} - 2 \frac{d y}{d x} 1 + 1^{2} : \frac{d y}{d x}^{2} - 2 \frac{d y}{d x} + 1

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

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

(g \circ f) (x + 3) (3 x^{2} - 9)

(2 x^{2} + 3 y^{2}) e - x^{2} - y^{2}

\frac{4}{( x - 4 ) ( x + 4 )}

\frac{36}{s ( s ^{2} + 10.8 s + 36 )}

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