Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
a5−4a4
Evaluate
(a−4)a4
Multiply the terms
a4(a−4)
Apply the distributive property
a4×a−a4×4
Multiply the terms
More Steps
Evaluate
a4×a
Use the product rule an×am=an+m to simplify the expression
a4+1
Add the numbers
a5
a5−a4×4
Solution
a5−4a4
Show Solution
Find the roots
a1=0,a2=4
Evaluate
(a−4)(a4)
To find the roots of the expression,set the expression equal to 0
(a−4)(a4)=0
Calculate
(a−4)a4=0
Multiply the terms
a4(a−4)=0
Separate the equation into 2 possible cases
a4=0a−4=0
The only way a power can be 0 is when the base equals 0
a=0a−4=0
Solve the equation
More Steps
Evaluate
a−4=0
Move the constant to the right-hand side and change its sign
a=0+4
Removing 0 doesn't change the value,so remove it from the expression
a=4
a=0a=4
Solution
a1=0,a2=4
Show Solution