Chapter 3 Mathematica Commands

1. Expand

Expand["Enter Expression here"]

Expand[-x(x-9)]

2. Factorise Expressions

Factor["Enter Expression here"]

Factor[5*(a+b)+v*(a+b)]

Factor[1/4-3d+9d^2]

Factor[45t^2-20]

3. Simplify Expressions

Cancel["Enter Expression here"]

Cancel[-2ab^2*4b^2]

4. Solve Equations

Solve["Enter Equation here with ==","the thing you are looking for"]

Solve[(3x-17)(2x-d)==0,x]

5. From Number Form to Scientific Notation

ScientificForm[{"Enter Expression Here"},"How many Sig. Figs."]

ScientificForm[{12345.0},4]

ScientificForm[{123450000.0,0.000012345,123.45},3]

6. From Scientific Notation to Number Form

NumberForm[{"Enter Expression Here"},"How many Sig. Figs."]

NumberForm[{1.235*10^-4},4]

7. Highest Common Factor( HCF), Lowest Common Multiple(LCM)

LCM["Enter all numbers with a comma in between"]

GCD["Enter all numbers with a comma in between"]

LCM[2,3,5]

GCD[2, 3, 5]

8. Growth Factor

Solve["Growth Factor"==1+(("Rate")/100),"Growth Factor"]//N

Solve["Growth Factor"==1+(5/100),"Growth Factor"]//N

9. Decay Factor

Solve["Decay Factor"==1-(("Rate")/100),"Decay Factor"]//N

Solve["Decay Factor"==1-(5/100),"Decay Factor"]//N

10. Accumulated Values( Total amount)

The total amount in investment (Accumulated Values):

Solve["Accumulated Value"=="principal"×(("Growth or Decay Factor")^("Time")),"Accumulated Value"]

Solve["Accumulated Value"==1000×(1.05^4),"Accumulated Value"]

The interest earned:

Solve[earned interest=="principal"×(("Growth or Decay Factor")^("Time"))-"principal",earned interest]

Solve[earned interest==1000×(1.05^4)-1000,earned interest]