Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
b3−2b2
Evaluate
(b−2)b2
Multiply the terms
b2(b−2)
Apply the distributive property
b2×b−b2×2
Multiply the terms
More Steps
Evaluate
b2×b
Use the product rule an×am=an+m to simplify the expression
b2+1
Add the numbers
b3
b3−b2×2
Solution
b3−2b2
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Find the roots
b1=0,b2=2
Evaluate
(b−2)(b2)
To find the roots of the expression,set the expression equal to 0
(b−2)(b2)=0
Calculate
(b−2)b2=0
Multiply the terms
b2(b−2)=0
Separate the equation into 2 possible cases
b2=0b−2=0
The only way a power can be 0 is when the base equals 0
b=0b−2=0
Solve the equation
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Evaluate
b−2=0
Move the constant to the right-hand side and change its sign
b=0+2
Removing 0 doesn't change the value,so remove it from the expression
b=2
b=0b=2
Solution
b1=0,b2=2
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