Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
b(1−b)(1+b)
Evaluate
b−b3
Factor out b from the expression
b(1−b2)
Solution
More Steps
Evaluate
1−b2
Rewrite the expression in exponential form
12−b2
Use a2−b2=(a−b)(a+b) to factor the expression
(1−b)(1+b)
b(1−b)(1+b)
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Find the roots
b1=−1,b2=0,b3=1
Evaluate
b−b3
To find the roots of the expression,set the expression equal to 0
b−b3=0
Factor the expression
b(1−b2)=0
Separate the equation into 2 possible cases
b=01−b2=0
Solve the equation
More Steps
Evaluate
1−b2=0
Move the constant to the right-hand side and change its sign
−b2=0−1
Removing 0 doesn't change the value,so remove it from the expression
−b2=−1
Change the signs on both sides of the equation
b2=1
Take the root of both sides of the equation and remember to use both positive and negative roots
b=±1
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