Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
q5−q3
Evaluate
(q2−1)q3
Multiply the terms
q3(q2−1)
Apply the distributive property
q3×q2−q3×1
Multiply the terms
More Steps
Evaluate
q3×q2
Use the product rule an×am=an+m to simplify the expression
q3+2
Add the numbers
q5
q5−q3×1
Solution
q5−q3
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Factor the expression
q3(q−1)(q+1)
Evaluate
(q2−1)q3
Multiply the terms
q3(q2−1)
Solution
q3(q−1)(q+1)
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Find the roots
q1=−1,q2=0,q3=1
Evaluate
(q2−1)(q3)
To find the roots of the expression,set the expression equal to 0
(q2−1)(q3)=0
Calculate
(q2−1)q3=0
Multiply the terms
q3(q2−1)=0
Separate the equation into 2 possible cases
q3=0q2−1=0
The only way a power can be 0 is when the base equals 0
q=0q2−1=0
Solve the equation
More Steps
Evaluate
q2−1=0
Move the constant to the right-hand side and change its sign
q2=0+1
Removing 0 doesn't change the value,so remove it from the expression
q2=1
Take the root of both sides of the equation and remember to use both positive and negative roots
q=±1
Simplify the expression
q=±1
Separate the equation into 2 possible cases
q=1q=−1
q=0q=1q=−1
Solution
q1=−1,q2=0,q3=1
Show Solution