Question
Simplify the expression
a−4a7
Evaluate
4a−3a−4a6×a
Multiply
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Multiply the terms
−4a6×a
Multiply the terms with the same base by adding their exponents
−4a6+1
Add the numbers
−4a7
4a−3a−4a7
Solution
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Evaluate
4a−3a
Collect like terms by calculating the sum or difference of their coefficients
(4−3)a
Subtract the numbers
a
a−4a7
Show Solution

Factor the expression
a(1−2a3)(1+2a3)
Evaluate
4a−3a−4a6×a
Multiply
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Multiply the terms
4a6×a
Multiply the terms with the same base by adding their exponents
4a6+1
Add the numbers
4a7
4a−3a−4a7
Subtract the terms
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Simplify
4a−3a
Collect like terms by calculating the sum or difference of their coefficients
(4−3)a
Subtract the numbers
a
a−4a7
Rewrite the expression
a−a×4a6
Factor out a from the expression
a(1−4a6)
Solution
a(1−2a3)(1+2a3)
Show Solution

Find the roots
a1=−234,a2=0,a3=234
Alternative Form
a1≈−0.793701,a2=0,a3≈0.793701
Evaluate
4a−3a−4a6×a
To find the roots of the expression,set the expression equal to 0
4a−3a−4a6×a=0
Multiply
More Steps

Multiply the terms
4a6×a
Multiply the terms with the same base by adding their exponents
4a6+1
Add the numbers
4a7
4a−3a−4a7=0
Subtract the terms
More Steps

Simplify
4a−3a
Collect like terms by calculating the sum or difference of their coefficients
(4−3)a
Subtract the numbers
a
a−4a7=0
Factor the expression
a(1−4a6)=0
Separate the equation into 2 possible cases
a=01−4a6=0
Solve the equation
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Evaluate
1−4a6=0
Move the constant to the right-hand side and change its sign
−4a6=0−1
Removing 0 doesn't change the value,so remove it from the expression
−4a6=−1
Change the signs on both sides of the equation
4a6=1
Divide both sides
44a6=41
Divide the numbers
a6=41
Take the root of both sides of the equation and remember to use both positive and negative roots
a=±641
Simplify the expression
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Evaluate
641
To take a root of a fraction,take the root of the numerator and denominator separately
6461
Simplify the radical expression
641
Simplify the radical expression
321
Multiply by the Conjugate
32×322322
Simplify
32×32234
Multiply the numbers
234
a=±234
Separate the equation into 2 possible cases
a=234a=−234
a=0a=234a=−234
Solution
a1=−234,a2=0,a3=234
Alternative Form
a1≈−0.793701,a2=0,a3≈0.793701
Show Solution
