Question
Simplify the expression
xx3−198x4−4−96x2
Evaluate
x2−11x×18x2−x4−96x
Multiply
More Steps

Multiply the terms
−11x×18x2
Multiply the terms
−198x×x2
Multiply the terms with the same base by adding their exponents
−198x1+2
Add the numbers
−198x3
x2−198x3−x4−96x
Reduce fractions to a common denominator
xx2×x−x198x3×x−x4−x96x×x
Write all numerators above the common denominator
xx2×x−198x3×x−4−96x×x
Multiply the terms
More Steps

Evaluate
x2×x
Use the product rule an×am=an+m to simplify the expression
x2+1
Add the numbers
x3
xx3−198x3×x−4−96x×x
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
xx3−198x4−4−96x×x
Solution
xx3−198x4−4−96x2
Show Solution

Find the excluded values
x=0
Evaluate
x2−11x×18x2−x4−96x
Solution
x=0
Show Solution

Find the roots
x∈/R
Evaluate
x2−11x×18x2−x4−96x
To find the roots of the expression,set the expression equal to 0
x2−11x×18x2−x4−96x=0
Find the domain
x2−11x×18x2−x4−96x=0,x=0
Calculate
x2−11x×18x2−x4−96x=0
Multiply
More Steps

Multiply the terms
11x×18x2
Multiply the terms
198x×x2
Multiply the terms with the same base by adding their exponents
198x1+2
Add the numbers
198x3
x2−198x3−x4−96x=0
Subtract the terms
More Steps

Simplify
x2−198x3−x4
Reduce fractions to a common denominator
xx2×x−x198x3×x−x4
Write all numerators above the common denominator
xx2×x−198x3×x−4
Multiply the terms
More Steps

Evaluate
x2×x
Use the product rule an×am=an+m to simplify the expression
x2+1
Add the numbers
x3
xx3−198x3×x−4
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
xx3−198x4−4
xx3−198x4−4−96x=0
Subtract the terms
More Steps

Simplify
xx3−198x4−4−96x
Reduce fractions to a common denominator
xx3−198x4−4−x96x×x
Write all numerators above the common denominator
xx3−198x4−4−96x×x
Multiply the terms
xx3−198x4−4−96x2
xx3−198x4−4−96x2=0
Cross multiply
x3−198x4−4−96x2=x×0
Simplify the equation
x3−198x4−4−96x2=0
Solution
x∈/R
Show Solution
