MATH/CMSC 206 - Introduction to Matlab

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Answers to Self-Test

1. We are about to manipulate some formulas involving variables a, b, and c. Write the MATLAB command that declares these variables as "symbolic".

syms a b c

2. Write the MATLAB command that will factor the polynomial a^2-b^2

factor(a^2 - b^2)
 
ans =
 
(a - b)*(a + b)
 

3. Write the MATLAB command that will multiply a+b+c by a^2-b^2, leaving no parentheses in it's answer.

expand((a + b + c) * (a^2 - b^2))
 
ans =
 
a^3 + a^2*b + c*a^2 - a*b^2 - b^3 - c*b^2
 

4. Write the MATLAB command that will simplify the expression: ln(6x)-ln(3x).

simplify(log(6 * a) - log(3 * a))
 
ans =
 
log(2)