What is expand (cos(A-B)-1)^2 ?

The solution to expand (cos(A-B)-1)^2 is cos^2(A-B)-2cos(A-B)+1

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expand (cos(A-B)-1)^2

expand

(cos (A - B) - 1)^{2}

cos^{2} (A - B) - 2 cos (A - B) + 1

Solution steps

(cos (A - B) - 1)^{2}

Apply Perfect Square Formula:

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

(cos (A - B) - 1)^{2} = cos^{2} (A - B) - 2 cos (A - B) \cdot 1 + 1^{2}

= cos^{2} (A - B) - 2 cos (A - B) \cdot 1 + 1^{2}

Simplify

cos^{2} (A - B) - 2 cos (A - B) \cdot 1 + 1^{2} : cos^{2} (A - B) - 2 cos (A - B) + 1

= cos^{2} (A - B) - 2 cos (A - B) + 1

(t^{2} - 2 t) \cdot (- 3 cos (t))

\frac{( s + 1 ) ( s + 2 )}{( s + 3 ) ( s + 4 )}

\frac{x + 2}{( v - 6 ) ( v + 2 )}

(t^{2} - 8 t + 19) e^{s t}

x (156 - \frac{x}{10})

What is expand (cos(A-B)-1)^2 ?
The solution to expand (cos(A-B)-1)^2 is cos^2(A-B)-2cos(A-B)+1