Question
Simplify the expression
32u5−u
Evaluate
32u4×u−u
Solution
More Steps

Evaluate
32u4×u
Multiply the terms with the same base by adding their exponents
32u4+1
Add the numbers
32u5
32u5−u
Show Solution

Factor the expression
u(32u4−1)
Evaluate
32u4×u−u
Multiply
More Steps

Evaluate
32u4×u
Multiply the terms with the same base by adding their exponents
32u4+1
Add the numbers
32u5
32u5−u
Rewrite the expression
u×32u4−u
Solution
u(32u4−1)
Show Solution

Find the roots
u1=−448,u2=0,u3=448
Alternative Form
u1≈−0.420448,u2=0,u3≈0.420448
Evaluate
32u4×u−u
To find the roots of the expression,set the expression equal to 0
32u4×u−u=0
Multiply
More Steps

Multiply the terms
32u4×u
Multiply the terms with the same base by adding their exponents
32u4+1
Add the numbers
32u5
32u5−u=0
Factor the expression
u(32u4−1)=0
Separate the equation into 2 possible cases
u=032u4−1=0
Solve the equation
More Steps

Evaluate
32u4−1=0
Move the constant to the right-hand side and change its sign
32u4=0+1
Removing 0 doesn't change the value,so remove it from the expression
32u4=1
Divide both sides
3232u4=321
Divide the numbers
u4=321
Take the root of both sides of the equation and remember to use both positive and negative roots
u=±4321
Simplify the expression
More Steps

Evaluate
4321
To take a root of a fraction,take the root of the numerator and denominator separately
43241
Simplify the radical expression
4321
Simplify the radical expression
2421
Multiply by the Conjugate
242×423423
Simplify
242×42348
Multiply the numbers
448
u=±448
Separate the equation into 2 possible cases
u=448u=−448
u=0u=448u=−448
Solution
u1=−448,u2=0,u3=448
Alternative Form
u1≈−0.420448,u2=0,u3≈0.420448
Show Solution
