Question
Simplify the expression
5x3−5
Evaluate
x2×5x−5
Solution
More Steps

Evaluate
x2×5x
Multiply the terms with the same base by adding their exponents
x2+1×5
Add the numbers
x3×5
Use the commutative property to reorder the terms
5x3
5x3−5
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Factor the expression
5(x−1)(x2+x+1)
Evaluate
x2×5x−5
Evaluate
More Steps

Evaluate
x2×5x
Multiply the terms with the same base by adding their exponents
x2+1×5
Add the numbers
x3×5
Use the commutative property to reorder the terms
5x3
5x3−5
Factor out 5 from the expression
5(x3−1)
Solution
More Steps

Evaluate
x3−1
Rewrite the expression in exponential form
x3−13
Use a3−b3=(a−b)(a2+ab+b2) to factor the expression
(x−1)(x2+x×1+12)
Any expression multiplied by 1 remains the same
(x−1)(x2+x+12)
1 raised to any power equals to 1
(x−1)(x2+x+1)
5(x−1)(x2+x+1)
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Find the roots
x=1
Evaluate
x2×5x−5
To find the roots of the expression,set the expression equal to 0
x2×5x−5=0
Multiply
More Steps

Multiply the terms
x2×5x
Multiply the terms with the same base by adding their exponents
x2+1×5
Add the numbers
x3×5
Use the commutative property to reorder the terms
5x3
5x3−5=0
Move the constant to the right-hand side and change its sign
5x3=0+5
Removing 0 doesn't change the value,so remove it from the expression
5x3=5
Divide both sides
55x3=55
Divide the numbers
x3=55
Divide the numbers
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Evaluate
55
Reduce the numbers
11
Calculate
1
x3=1
Take the 3-th root on both sides of the equation
3x3=31
Calculate
x=31
Solution
x=1
Show Solution
