Question
Simplify the expression
8d3−2d2
Evaluate
2d2(4d−1)
Apply the distributive property
2d2×4d−2d2×1
Multiply the terms
More Steps

Evaluate
2d2×4d
Multiply the numbers
8d2×d
Multiply the terms
More Steps

Evaluate
d2×d
Use the product rule an×am=an+m to simplify the expression
d2+1
Add the numbers
d3
8d3
8d3−2d2×1
Solution
8d3−2d2
Show Solution

Find the roots
d1=0,d2=41
Alternative Form
d1=0,d2=0.25
Evaluate
(2d2)(4d−1)
To find the roots of the expression,set the expression equal to 0
(2d2)(4d−1)=0
Multiply the terms
2d2(4d−1)=0
Elimination the left coefficient
d2(4d−1)=0
Separate the equation into 2 possible cases
d2=04d−1=0
The only way a power can be 0 is when the base equals 0
d=04d−1=0
Solve the equation
More Steps

Evaluate
4d−1=0
Move the constant to the right-hand side and change its sign
4d=0+1
Removing 0 doesn't change the value,so remove it from the expression
4d=1
Divide both sides
44d=41
Divide the numbers
d=41
d=0d=41
Solution
d1=0,d2=41
Alternative Form
d1=0,d2=0.25
Show Solution
