Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
b64b3+128b2+64
Evaluate
64b2+128b+b64
Reduce fractions to a common denominator
b64b2×b+b128b×b+b64
Write all numerators above the common denominator
b64b2×b+128b×b+64
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
b64b3+128b×b+64
Solution
b64b3+128b2+64
Show Solution
Find the excluded values
b=0
Evaluate
64b2+128b+b64
Solution
b=0
Show Solution
Find the roots
b≈−2.205569
Evaluate
64b2+128b+b64
To find the roots of the expression,set the expression equal to 0
64b2+128b+b64=0
Find the domain
64b2+128b+b64=0,b=0
Calculate
64b2+128b+b64=0
Add the terms
More Steps
Evaluate
64b2+128b+b64
Reduce fractions to a common denominator
b64b2×b+b128b×b+b64
Write all numerators above the common denominator
b64b2×b+128b×b+64
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
b64b3+128b×b+64
Multiply the terms
b64b3+128b2+64
b64b3+128b2+64=0
Cross multiply
64b3+128b2+64=b×0
Simplify the equation
64b3+128b2+64=0
Factor the expression
64(b3+2b2+1)=0
Divide both sides
b3+2b2+1=0
Calculate
b≈−2.205569
Check if the solution is in the defined range
b≈−2.205569,b=0
Solution
b≈−2.205569
Show Solution