Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
B5−B
Evaluate
B4×B−B
Solution
More Steps
Evaluate
B4×B
Use the product rule an×am=an+m to simplify the expression
B4+1
Add the numbers
B5
B5−B
Show Solution
Factor the expression
B(B−1)(B+1)(B2+1)
Evaluate
B4×B−B
Evaluate
More Steps
Evaluate
B4×B
Use the product rule an×am=an+m to simplify the expression
B4+1
Add the numbers
B5
B5−B
Factor out B from the expression
B(B4−1)
Factor the expression
More Steps
Evaluate
B4−1
Rewrite the expression in exponential form
(B2)2−12
Use a2−b2=(a−b)(a+b) to factor the expression
(B2−1)(B2+1)
B(B2−1)(B2+1)
Solution
More Steps
Evaluate
B2−1
Rewrite the expression in exponential form
B2−12
Use a2−b2=(a−b)(a+b) to factor the expression
(B−1)(B+1)
B(B−1)(B+1)(B2+1)
Show Solution
Find the roots
B1=−1,B2=0,B3=1
Evaluate
B4×B−B
To find the roots of the expression,set the expression equal to 0
B4×B−B=0
Multiply the terms
More Steps
Evaluate
B4×B
Use the product rule an×am=an+m to simplify the expression
B4+1
Add the numbers
B5
B5−B=0
Factor the expression
B(B4−1)=0
Separate the equation into 2 possible cases
B=0B4−1=0
Solve the equation
More Steps
Evaluate
B4−1=0
Move the constant to the right-hand side and change its sign
B4=0+1
Removing 0 doesn't change the value,so remove it from the expression
B4=1
Take the root of both sides of the equation and remember to use both positive and negative roots
B=±41
Simplify the expression
B=±1
Separate the equation into 2 possible cases
B=1B=−1
B=0B=1B=−1
Solution
B1=−1,B2=0,B3=1
Show Solution