Question
Simplify the expression
2f−18f5
Evaluate
5f−3f−2f×9f3×f
Multiply
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Multiply the terms
−2f×9f3×f
Multiply the terms
−18f×f3×f
Multiply the terms with the same base by adding their exponents
−18f1+3+1
Add the numbers
−18f5
5f−3f−18f5
Solution
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Evaluate
5f−3f
Collect like terms by calculating the sum or difference of their coefficients
(5−3)f
Subtract the numbers
2f
2f−18f5
Show Solution

Factor the expression
2f(1−3f2)(1+3f2)
Evaluate
5f−3f−2f×9f3×f
Multiply
More Steps

Multiply the terms
2f×9f3×f
Multiply the terms
18f×f3×f
Multiply the terms with the same base by adding their exponents
18f1+3+1
Add the numbers
18f5
5f−3f−18f5
Subtract the terms
More Steps

Simplify
5f−3f
Collect like terms by calculating the sum or difference of their coefficients
(5−3)f
Subtract the numbers
2f
2f−18f5
Rewrite the expression
2f−2f×9f4
Factor out 2f from the expression
2f(1−9f4)
Solution
2f(1−3f2)(1+3f2)
Show Solution

Find the roots
f1=−33,f2=0,f3=33
Alternative Form
f1≈−0.57735,f2=0,f3≈0.57735
Evaluate
5f−3f−2f×9f3×f
To find the roots of the expression,set the expression equal to 0
5f−3f−2f×9f3×f=0
Multiply
More Steps

Multiply the terms
2f×9f3×f
Multiply the terms
18f×f3×f
Multiply the terms with the same base by adding their exponents
18f1+3+1
Add the numbers
18f5
5f−3f−18f5=0
Subtract the terms
More Steps

Simplify
5f−3f
Collect like terms by calculating the sum or difference of their coefficients
(5−3)f
Subtract the numbers
2f
2f−18f5=0
Factor the expression
2f(1−9f4)=0
Divide both sides
f(1−9f4)=0
Separate the equation into 2 possible cases
f=01−9f4=0
Solve the equation
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Evaluate
1−9f4=0
Move the constant to the right-hand side and change its sign
−9f4=0−1
Removing 0 doesn't change the value,so remove it from the expression
−9f4=−1
Change the signs on both sides of the equation
9f4=1
Divide both sides
99f4=91
Divide the numbers
f4=91
Take the root of both sides of the equation and remember to use both positive and negative roots
f=±491
Simplify the expression
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Evaluate
491
To take a root of a fraction,take the root of the numerator and denominator separately
4941
Simplify the radical expression
491
Simplify the radical expression
31
Multiply by the Conjugate
3×33
When a square root of an expression is multiplied by itself,the result is that expression
33
f=±33
Separate the equation into 2 possible cases
f=33f=−33
f=0f=33f=−33
Solution
f1=−33,f2=0,f3=33
Alternative Form
f1≈−0.57735,f2=0,f3≈0.57735
Show Solution
