Question
Simplify the expression
2d3−8
Evaluate
d2×2d−8
Solution
More Steps

Evaluate
d2×2d
Multiply the terms with the same base by adding their exponents
d2+1×2
Add the numbers
d3×2
Use the commutative property to reorder the terms
2d3
2d3−8
Show Solution

Factor the expression
2(d3−4)
Evaluate
d2×2d−8
Multiply
More Steps

Evaluate
d2×2d
Multiply the terms with the same base by adding their exponents
d2+1×2
Add the numbers
d3×2
Use the commutative property to reorder the terms
2d3
2d3−8
Solution
2(d3−4)
Show Solution

Find the roots
d=34
Alternative Form
d≈1.587401
Evaluate
d2×2d−8
To find the roots of the expression,set the expression equal to 0
d2×2d−8=0
Multiply
More Steps

Multiply the terms
d2×2d
Multiply the terms with the same base by adding their exponents
d2+1×2
Add the numbers
d3×2
Use the commutative property to reorder the terms
2d3
2d3−8=0
Move the constant to the right-hand side and change its sign
2d3=0+8
Removing 0 doesn't change the value,so remove it from the expression
2d3=8
Divide both sides
22d3=28
Divide the numbers
d3=28
Divide the numbers
More Steps

Evaluate
28
Reduce the numbers
14
Calculate
4
d3=4
Take the 3-th root on both sides of the equation
3d3=34
Solution
d=34
Alternative Form
d≈1.587401
Show Solution
