Question
(a−1)a4−a2×a3
Simplify the expression
−a4
Evaluate
(a−1)a4−a2×a3
Multiply the terms
a4(a−1)−a2×a3
Multiply the terms
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Evaluate
a2×a3
Use the product rule an×am=an+m to simplify the expression
a2+3
Add the numbers
a5
a4(a−1)−a5
Expand the expression
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Calculate
a4(a−1)
Apply the distributive property
a4×a−a4×1
Multiply the terms
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Evaluate
a4×a
Use the product rule an×am=an+m to simplify the expression
a4+1
Add the numbers
a5
a5−a4×1
Any expression multiplied by 1 remains the same
a5−a4
a5−a4−a5
The sum of two opposites equals 0
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Evaluate
a5−a5
Collect like terms
(1−1)a5
Add the coefficients
0×a5
Calculate
0
0−a4
Solution
−a4
Show Solution

Find the roots
a=0
Evaluate
(a−1)(a4)−(a2)(a3)
To find the roots of the expression,set the expression equal to 0
(a−1)(a4)−(a2)(a3)=0
Calculate
(a−1)a4−(a2)(a3)=0
Calculate
(a−1)a4−a2(a3)=0
Calculate
(a−1)a4−a2×a3=0
Multiply the terms
a4(a−1)−a2×a3=0
Multiply the terms
More Steps

Evaluate
a2×a3
Use the product rule an×am=an+m to simplify the expression
a2+3
Add the numbers
a5
a4(a−1)−a5=0
Subtract the terms
More Steps

Simplify
a4(a−1)−a5
Expand the expression
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Calculate
a4(a−1)
Apply the distributive property
a4×a+a4(−1)
Multiply the terms
a5+a4(−1)
Multiplying or dividing an odd number of negative terms equals a negative
a5−a4
a5−a4−a5
The sum of two opposites equals 0
More Steps

Evaluate
a5−a5
Collect like terms
(1−1)a5
Add the coefficients
0×a5
Calculate
0
0−a4
Remove 0
−a4
−a4=0
Change the signs on both sides of the equation
a4=0
Solution
a=0
Show Solution
