Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
a4−2a3
Evaluate
(a−2)a3
Multiply the terms
a3(a−2)
Apply the distributive property
a3×a−a3×2
Multiply the terms
More Steps
Evaluate
a3×a
Use the product rule an×am=an+m to simplify the expression
a3+1
Add the numbers
a4
a4−a3×2
Solution
a4−2a3
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Find the roots
a1=0,a2=2
Evaluate
(a−2)(a3)
To find the roots of the expression,set the expression equal to 0
(a−2)(a3)=0
Calculate
(a−2)a3=0
Multiply the terms
a3(a−2)=0
Separate the equation into 2 possible cases
a3=0a−2=0
The only way a power can be 0 is when the base equals 0
a=0a−2=0
Solve the equation
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Evaluate
a−2=0
Move the constant to the right-hand side and change its sign
a=0+2
Removing 0 doesn't change the value,so remove it from the expression
a=2
a=0a=2
Solution
a1=0,a2=2
Show Solution