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1.
Square of difference
$(a-b)^2=a^2-2ab+b^2$
Polynomial
Power
2.
Square of sum
$(a+b)^2=a^2+2ab+b^2$
Polynomial
Power
3.
Cube of difference
$(a-b)^3=a^3-3a^2b+3ab^2-b^3$
Polynomial
Power
4.
Cube of sum
$(a+b)^3=a^3+3a^2b+3ab^2+b^3$
Polynomial
Power
5.
Fourth power of difference
$(a-b)^4=a^4-4a^3b+6a^2b^2-4ab^3+b^4$
Polynomial
Power
6.
Fourth power of sum
$(a+b)^4=a^4+4a^3b+6a^2b^2+4ab^3+b^4$
Polynomial
Power
7.
$\sin^2\alpha = \dfrac{1-\cos2\alpha}{2}$
Power
Trigonometry
8.
$\sin^3\alpha = \dfrac{3\sin\alpha - \sin 3\alpha}{4}$
Power
Trigonometry
9.
$\sin^4\alpha = \dfrac{\cos4\alpha-4\cos2\alpha+3}{8}$
Power
Trigonometry
10.
$\sin^5\alpha = \dfrac{10\sin\alpha - 5\sin3\alpha + \sin 5\alpha}{16}$
Power
Trigonometry
11.
$\sin^6\alpha = \dfrac{10-15\cos2\alpha+6\cos4\alpha-\cos6\alpha}{32}$
Power
Trigonometry
12.
$\cos^2\alpha=\dfrac{1+\cos2\alpha}{2}$
Power
Trigonometry
13.
$\cos3\alpha=\dfrac{3\cos\alpha+\cos3\alpha}{4}$
Power
Trigonometry
14.
$\cos^4\alpha=\dfrac{\cos4\alpha+4\cos2\alpha+3}{8}$
Power
Trigonometry
15.
$\cos^5\alpha=\dfrac{10\cos\alpha+5\sin3\alpha+\cos5\alpha}{16}$
Power
Trigonometry
16.
$\cos^6\alpha=\dfrac{10+15\cos2\alpha+6\cos4\alpha+\cos6\alpha}{32}$
Power
Trigonometry
17.
Vigfuf
$10E8+10^8$
E
Power
18.
$\cos^6\alpha=\dfrac{10+15\cos2\alpha+6\cos4\alpha+\cos6\alpha}{32}$
Power
Trigonometry

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