Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
c9−c6
Evaluate
c4×c5−c6
Solution
More Steps
Evaluate
c4×c5
Use the product rule an×am=an+m to simplify the expression
c4+5
Add the numbers
c9
c9−c6
Show Solution
Factor the expression
c6(c−1)(c2+c+1)
Evaluate
c4×c5−c6
Evaluate
More Steps
Evaluate
c4×c5
Use the product rule an×am=an+m to simplify the expression
c4+5
Add the numbers
c9
c9−c6
Factor out c6 from the expression
c6(c3−1)
Solution
More Steps
Evaluate
c3−1
Rewrite the expression in exponential form
c3−13
Use a3−b3=(a−b)(a2+ab+b2) to factor the expression
(c−1)(c2+c×1+12)
Any expression multiplied by 1 remains the same
(c−1)(c2+c+12)
1 raised to any power equals to 1
(c−1)(c2+c+1)
c6(c−1)(c2+c+1)
Show Solution
Find the roots
c1=0,c2=1
Evaluate
c4×c5−c6
To find the roots of the expression,set the expression equal to 0
c4×c5−c6=0
Multiply the terms
More Steps
Evaluate
c4×c5
Use the product rule an×am=an+m to simplify the expression
c4+5
Add the numbers
c9
c9−c6=0
Factor the expression
c6(c3−1)=0
Separate the equation into 2 possible cases
c6=0c3−1=0
The only way a power can be 0 is when the base equals 0
c=0c3−1=0
Solve the equation
More Steps
Evaluate
c3−1=0
Move the constant to the right-hand side and change its sign
c3=0+1
Removing 0 doesn't change the value,so remove it from the expression
c3=1
Take the 3-th root on both sides of the equation
3c3=31
Calculate
c=31
Simplify the root
c=1
c=0c=1
Solution
c1=0,c2=1
Show Solution