Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
b4−b
Evaluate
b×b×b×b−b
Solution
b4−b
Show Solution
Factor the expression
b(b−1)(b2+b+1)
Evaluate
b×b×b×b−b
Rewrite the expression in exponential form
b4−b
Factor out b from the expression
b(b3−1)
Solution
More Steps
Evaluate
b3−1
Rewrite the expression in exponential form
b3−13
Use a3−b3=(a−b)(a2+ab+b2) to factor the expression
(b−1)(b2+b×1+12)
Any expression multiplied by 1 remains the same
(b−1)(b2+b+12)
1 raised to any power equals to 1
(b−1)(b2+b+1)
b(b−1)(b2+b+1)
Show Solution
Find the roots
b1=0,b2=1
Evaluate
b×b×b×b−b
To find the roots of the expression,set the expression equal to 0
b×b×b×b−b=0
Multiply
More Steps
Multiply the terms
b×b×b×b
Multiply the terms with the same base by adding their exponents
b1+1+1+1
Add the numbers
b4
b4−b=0
Factor the expression
b(b3−1)=0
Separate the equation into 2 possible cases
b=0b3−1=0
Solve the equation
More Steps
Evaluate
b3−1=0
Move the constant to the right-hand side and change its sign
b3=0+1
Removing 0 doesn't change the value,so remove it from the expression
b3=1
Take the 3-th root on both sides of the equation
3b3=31
Calculate
b=31
Simplify the root
b=1
b=0b=1
Solution
b1=0,b2=1
Show Solution