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(a+b)2=\left(a+b\right)^2=(a+b)2=
a2+b2a^2+b^2a2+b2
a2+b2−2aba^2+b^2-2aba2+b2−2ab
a2+b2+2aba^2+b^2+2aba2+b2+2ab
2a+2b2a+2b2a+2b
(a−b)2=\left(a-b\right)^2=(a−b)2=
a2−b2a^2-b^2a2−b2
2a−2b2a-2b2a−2b
(a+b)2+(a−b)2=(a+b)^2+(a-b)^2=(a+b)2+(a−b)2=
4ab4ab4ab
2(a2+b2)2\left(a^2+b^2\right)2(a2+b2)
4(a2+b2)4\left(a^2+b^2\right)4(a2+b2)
(a+b)2−(a−b)2=(a+b)^2-(a-b)^2=(a+b)2−(a−b)2=
ababab
2ab2ab2ab
3ab3ab3ab
(a+b)(a−b)=(a+b)(a-b)^{ }=(a+b)(a−b)=
a2b2a^2b^2a2b2
2(a−b)2\left(a-b\right)2(a−b)
(a+1a)2=\left(a+\frac{1}{a}\right)^2=(a+a1)2=
a2+1a2a^2+\frac{1}{a^2}^{ }a2+a21
a2+1a2−2a^2+\frac{1}{a^2}^{ }-2a2+a21−2
a2+2+1a2a^2+2+\frac{1}{a^2}^{ }a2+2+a21
2(a+1a)2\left(a+\frac{1}{a}\right)2(a+a1)
(a−1a)2=\left(a-\frac{1}{a}\right)^2=(a−a1)2=
a2−1a2a^2-\frac{1}{a^2}^{ }a2−a21
a2+1a2+2a^2+\frac{1}{a^2}+2a2+a21+2
2(a−1a)2\left(a-\frac{1}{a}\right)2(a−a1)
(a+1a)2+(a−1a)2=\left(a+\frac{1}{a}\right)^2+\left(a-\frac{1}{a}\right)^2=(a+a1)2+(a−a1)2=
a2+1a2a^2+\frac{1}{a^2}a2+a21
2(a2+1a2)2\left(a^2+\frac{1}{a^2}\right)2(a2+a21)
3(a2+1a2)3\left(a^2+\frac{1}{a^2}\right)3(a2+a21)
4(a2+1a2)4\left(a^2+\frac{1}{a^2}\right)4(a2+a21)
(a+1a)2−(a−1a)2=\left(a+\frac{1}{a}\right)^2-\left(a-\frac{1}{a}\right)^2=(a+a1)2−(a−a1)2=
111
222
333
444
(a+1a)(a−1a)=\left(a+\frac{1}{a}\right)\left(a-\frac{1}{a}\right)=(a+a1)(a−a1)=
a2−1a2a^2-\frac{1}{a^2}a2−a21
000
None of theseNone\ of\ theseNone of these
(x+a)(x+b)=(x+a)(x+b)=(x+a)(x+b)=
x2−(a+b)x+abx^2-(a+b)x+abx2−(a+b)x+ab
x2+(a+b)x−abx^2+(a+b)x-abx2+(a+b)x−ab
x2−(a+b)x−abx^2-(a+b)x-abx2−(a+b)x−ab
x2+(a+b)x+abx^2+(a+b)x+abx2+(a+b)x+ab
(a+b)3=(a+b)^3=(a+b)3=
a3−b3−3ab(a−b)a^3-b^3-3ab(a-b)a3−b3−3ab(a−b)
a3+b3+3ab(a−b)a^3+b^3+3ab(a-b)a3+b3+3ab(a−b)
a3+b3+3ab(a+b)a^3+b^3+3ab(a+b)a3+b3+3ab(a+b)
a3−b3+3ab(a+b)a^3-b^3+3ab(a+b)a3−b3+3ab(a+b)
(a−b)3=(a-b)^3=(a−b)3=
(a+b)(a2−ab+b2)=(a+b)(a^2-ab+b^2)=(a+b)(a2−ab+b2)=
a3−b3a^3-b^3a3−b3
a3+b3a^3+b^3a3+b3
a3+b3+3aba^3+b^3+3aba3+b3+3ab
a3−b3−3aba^3-b^3-3aba3−b3−3ab
(a−b)(a2+ab+b2)=(a-b)(a^2+ab+b^2)=(a−b)(a2+ab+b2)=
(a+b+c)(a2+b2+c2−ab−bc−ca)=(a+b+c)(a^2+b^2+c^2-ab-bc-ca)=(a+b+c)(a2+b2+c2−ab−bc−ca)=
a3+b3+c3−abca^3+b^3+c^3-abca3+b3+c3−abc
a3+b3+c3−2abca^3+b^3+c^3-2abca3+b3+c3−2abc
a3+b3+c3+3abca^3+b^3+c^3+3abca3+b3+c3+3abc
a3+b3+c3−3abca^3+b^3+c^3-3abca3+b3+c3−3abc
If a+b+c=0, thenIf\ \ a+b+c=0,\ thenIf a+b+c=0, then
a3+b3+c3=0a^3+b^3+c^3=0a3+b3+c3=0
a3+b3+c3=abca^3+b^3+c^3=abca3+b3+c3=abc
a3+b3+c3=2abca^3+b^3+c^3=2abca3+b3+c3=2abc
a3+b3+c3=3abca^3+b^3+c^3=3abca3+b3+c3=3abc
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