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5 formulas · Mathematics
Square of a sum
(
a
+
b
)
2
=
a
2
+
2
a
b
+
b
2
(a+b)^2=a^2+2ab+b^2
(
a
+
b
)
2
=
a
2
+
2
ab
+
b
2
Square of a difference
(
a
−
b
)
2
=
a
2
−
2
a
b
+
b
2
(a-b)^2=a^2-2ab+b^2
(
a
−
b
)
2
=
a
2
−
2
ab
+
b
2
Difference of squares
a
2
−
b
2
=
(
a
−
b
)
(
a
+
b
)
a^2-b^2=(a-b)(a+b)
a
2
−
b
2
=
(
a
−
b
)
(
a
+
b
)
Cube of a sum
(
a
+
b
)
3
=
a
3
+
3
a
2
b
+
3
a
b
2
+
b
3
(a+b)^3=a^3+3a^2b+3ab^2+b^3
(
a
+
b
)
3
=
a
3
+
3
a
2
b
+
3
a
b
2
+
b
3
Sum and difference of cubes
a
3
±
b
3
=
(
a
±
b
)
(
a
2
∓
a
b
+
b
2
)
a^3\pm b^3=(a\pm b)(a^2\mp ab+b^2)
a
3
±
b
3
=
(
a
±
b
)
(
a
2
∓
ab
+
b
2
)
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