Page 49 - South Mountain Community College 2020-2021 Student Planner

MATH Polynomials
a(b +c) (a + b)2 (a – b)2
(a + b)(c + d) (a + b)3 (a – b)3 (a + b)(a – b) (a + b)(a2 – ab + b2) (a - b)(a2 + ab + b2) (a + b + c)2
= ab + ac
= a2 + 2ab + b2
= a2 – 2ab + b2
= ac + ad + bc + bd
= a3 = a3 = a2 = a3 = a3 = a2
+ 3a2b + 3ab2 + b3 – 3a2b + 3ab2 - b3 – b2
+ b3
– b3
+ b2 + c2 + 2ab + 2ac + 2bc
Tables of Formulas
Area of a square Area of a rectangle Area of a triangle
Area of a parallelogram
Area of a circle Circumference of a circle Perimeter of a polygon Perimeter of a rectangle Perimeter of a square
Volume of a triangular prism Volume of a rectangular prism Volume of a cylinder
Volume of a sphere
Volume of a cone
Volume of a cube
Surface area of a polyhedron Surface area of a cylinder
Distance traveled Simple interest
Geometric Formulas
A= s 2 where s = side length
A= lw where l = length and w = width
A= 12 bh where b = base and h = height
A= bh where b = base and h = height A= πr2 where π = 3.14 and r = radius C= πd where π = 3.14 and d = diameter P= Sum of the length of the sides
P= 2l + 2w where l = length and w = width
P= 4s where s = side length
V= Bh where B = area of base and h = height
V= lwh wherel=length,w=width,andh=height V= πr 2h where π = 3.14, r = radius, and h = height
Volume = 43 πr3;Surface = 4πr2 Volume = 13 πr2h; Surface = πr2 + πrl
Volume = s3; Surface = 6s2
S = Sum of the area of the faces
S = Sum of the lateral surface area and the area of the
two bases
Lateral surface area = 2πrh Area of two bases = 2πr2
Other Formulas
d = rt where r = rate, d = distance, and t = time
I = Prt where I = interest, P = principal, r = rate, and t = time
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