Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
a4−4a
Evaluate
a4×1−(3×aa)−1
Divide the terms
a4×1−(3×1)−1
Any expression multiplied by 1 remains the same
a4×1−3−1
Calculate
a4−3−1
Subtract the numbers
a4−4
Reduce fractions to a common denominator
a4−a4a
Solution
a4−4a
Show Solution
Find the excluded values
a=0
Evaluate
a4×1−(3×aa)−1
Solution
a=0
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Find the roots
a=1
Evaluate
a4×1−(3×aa)−1
To find the roots of the expression,set the expression equal to 0
a4×1−(3×aa)−1=0
Find the domain
a4×1−(3×aa)−1=0,a=0
Calculate
a4×1−(3×aa)−1=0
Simplify the expression
a4×1−(3×1)−1=0
Any expression multiplied by 1 remains the same
a4×1−3−1=0
Calculate
a4−3−1=0
Subtract the terms
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Simplify
a4−3
Reduce fractions to a common denominator
a4−a3a
Write all numerators above the common denominator
a4−3a
a4−3a−1=0
Subtract the terms
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Simplify
a4−3a−1
Reduce fractions to a common denominator
a4−3a−aa
Write all numerators above the common denominator
a4−3a−a
Subtract the terms
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Evaluate
−3a−a
Collect like terms by calculating the sum or difference of their coefficients
(−3−1)a
Subtract the numbers
−4a
a4−4a
a4−4a=0
Cross multiply
4−4a=a×0
Simplify the equation
4−4a=0
Move the constant to the right side
−4a=0−4
Removing 0 doesn't change the value,so remove it from the expression
−4a=−4
Change the signs on both sides of the equation
4a=4
Divide both sides
44a=44
Divide the numbers
a=44
Divide the numbers
More Steps
Evaluate
44
Reduce the numbers
11
Calculate
1
a=1
Check if the solution is in the defined range
a=1,a=0
Solution
a=1
Show Solution