Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
4u3−40
Evaluate
4u3−10
Reduce fractions to a common denominator
4u3−410×4
Write all numerators above the common denominator
4u3−10×4
Solution
4u3−40
Show Solution
Find the roots
u=235
Alternative Form
u≈3.419952
Evaluate
4u3−10
To find the roots of the expression,set the expression equal to 0
4u3−10=0
Subtract the terms
More Steps
Simplify
4u3−10
Reduce fractions to a common denominator
4u3−410×4
Write all numerators above the common denominator
4u3−10×4
Multiply the numbers
4u3−40
4u3−40=0
Simplify
u3−40=0
Move the constant to the right side
u3=40
Take the 3-th root on both sides of the equation
3u3=340
Calculate
u=340
Solution
More Steps
Evaluate
340
Write the expression as a product where the root of one of the factors can be evaluated
38×5
Write the number in exponential form with the base of 2
323×5
The root of a product is equal to the product of the roots of each factor
323×35
Reduce the index of the radical and exponent with 3
235
u=235
Alternative Form
u≈3.419952
Show Solution