MATHEMATICS
Polynomials
Tables of Formulas
a(b +c) = ab + ac
(a + b)
2
= a
2
+ 2ab + b
2
(a - b)
2
= a
2
- 2ab + b
2
(a + b)(c + d) = ac + ad + bc + bd
(a + b)
3
= a
3
+ 3a
2
b + 3ab
2
+ b
3
(a - b)
3
= a
3
- 3a
2
b + 3ab
2
- b
3
(a + b)(a - b) = a
2
- b
2
(a + b)(a
2
- ab + b
2
) = a
3
+ b
3
(a - b)(a
2
+ ab + b
2
) = a
3
- b
3
(a + b + c)
2
= a
2
+ b
2
+ c
2
+ 2ab+ 2ac+ 2bc
Other Formulas
Distance traveled
d
=
rt
where
r
= rate,
d
= distance, and
t
= time
Simple interest
I
=
Prt
where
I
= interest,
P
= principal,
r
= rate, and
t
= time
Geometric Formulas
Area of a square
A = s
2
where s = side length
Area of a rectangle
A = lw where l = length and w = width
Area of a triangle
A =
2
1
bh where b = base and h = height
Area of a parallelogram
A = bh where b = base and h = height
Area of a circle
A = πr
2
where π = 3.14 and r = radius
Circumference of a circle
C = πd where π = 3.14 and d = diameter
Perimeter of a polygon
P = Sum of the length of the sides
Perimeter of a rectangle
P = 2l + 2w where l = length and w = width
Perimeter of a square
P = 4s where s = side length
Volume of a triangular prism
V = Bh where B = area of base and h = height
Volume of a rectangular prism V = lwh where l = length, w = width, and h = height
Volume of a cylinder
V = πr
2
h where π = 3.14, r = radius, and h=height
Volume of a sphere
Volume =
3
4
πr
3
;Surface = 4πr
2
Volume of a cone
Volume =
3
1
πr
2
h; Surface = πr
2
+ πrl
Volume of a cube
Volume = s
3
;Surface = 6s
2
Surface area of a polyhedron
S = Sum of the area of the faces
Surface area of a cylinder
S = Sum of the lateral surface area and the area of the
two bases
Lateral surface area = 2πrh
Area of two bases = 2πr
2
S
I
l
i ls
l s f
l s
a(b +c) = ab + ac
(a + b)
2
= a
2
+ 2ab + b
2
(a - b)
2
= a
2
- 2ab + b
2
(a + b)(c + d) = ac + ad + bc + bd
(a + b)
3
= a
3
+ 3a
2
b + 3ab
2
+ b
3
(a - b)
3
= a
3
- 3a
2
b + 3ab
2
- b
3
(a + b)(a - b) = a
2
- b
2
(a + b)(a
2
- ab + b
2
) = a
3
+ b
3
(a - b)(a
2
+ ab + b
2
) = a
3
- b
3
(a + b + c)
2
= a
2
+ b
2
+ c
2
+ 2ab+ 2ac+ 2bc
ther For ulas
Distance traveled
d
=
rt
here
r
= rate,
d
= distance, and
t
= time
Simple interest
I
=
Prt
here
I
= interest,
P
= principal,
r
= rate, and
t
= time
eo etric For ulas
Area of a square
A = s
2
where s = side length
Area of a rectangle
A = lw where l = length and w = width
Area of a triangle
A =
2
1
bh where b = base and h = height
Area of a parallelogra
A = bh where b = base and h = height
Area of a circle
A = πr
2
where π = 3.14 and r = radius
Circu ference of a circle
C = πd where π = 3.14 and d = dia eter
Perimeter of a polygon
P = Su of the length of the sides
Perimeter of a rectangle
P = 2l + 2w where l = length and w = width
Perimeter of a square
P = 4s where s = side length
Volu e of a triangular pris
V = Bh where B = area of base and h = height
Volu e of a rectangular pris
V = lwh where l = length, w = width, and h = height
Volu e of a cylinder
V = πr
2
h where π = 3.14, r = radius, and h=height
Volu e of a sphere
Volu e =
3
4
πr
3
;Surface = 4πr
2
Volu e of a cone
Volu e =
3
1
πr
2
h; Surface = πr
2
+ πrl
Volu e of a cube
Volu e = s
3
;Surface = 6s
2
Surface area of a polyhedron
S = Su of the area of the faces
Surface area of a cylinder
S = Su of the lateral surface area and the area of the
two bases
Lateral surface area = 2πrh
Area of two bases = 2πr
2
P
S
SM-79
