Question
Simplify the expression
x4−x3−1
Evaluate
(x×1)(x−1)x2−1
Remove the parentheses
x×1×(x−1)x2−1
Multiply the terms
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Multiply the terms
x×1×(x−1)x2
Rewrite the expression
x(x−1)x2
Multiply the terms with the same base by adding their exponents
x1+2(x−1)
Add the numbers
x3(x−1)
x3(x−1)−1
Solution
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Evaluate
x3(x−1)
Apply the distributive property
x3×x−x3×1
Multiply the terms
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Evaluate
x3×x
Use the product rule an×am=an+m to simplify the expression
x3+1
Add the numbers
x4
x4−x3×1
Any expression multiplied by 1 remains the same
x4−x3
x4−x3−1
Show Solution

Find the roots
x1≈−0.819173,x2≈1.380278
Evaluate
(x×1)(x−1)x2−1
To find the roots of the expression,set the expression equal to 0
(x×1)(x−1)x2−1=0
Any expression multiplied by 1 remains the same
x(x−1)x2−1=0
Multiply
More Steps

Multiply the terms
x(x−1)x2
Multiply the terms with the same base by adding their exponents
x1+2(x−1)
Add the numbers
x3(x−1)
x3(x−1)−1=0
Calculate
More Steps

Evaluate
x3(x−1)
Apply the distributive property
x3×x−x3×1
Multiply the terms
More Steps

Evaluate
x3×x
Use the product rule an×am=an+m to simplify the expression
x3+1
Add the numbers
x4
x4−x3×1
Any expression multiplied by 1 remains the same
x4−x3
x4−x3−1=0
Calculate
x≈1.380278x≈−0.819173
Solution
x1≈−0.819173,x2≈1.380278
Show Solution
