Question
Simplify the expression
2w3−24
Evaluate
w2×2w−24
Solution
More Steps

Evaluate
w2×2w
Multiply the terms with the same base by adding their exponents
w2+1×2
Add the numbers
w3×2
Use the commutative property to reorder the terms
2w3
2w3−24
Show Solution

Factor the expression
2(w3−12)
Evaluate
w2×2w−24
Multiply
More Steps

Evaluate
w2×2w
Multiply the terms with the same base by adding their exponents
w2+1×2
Add the numbers
w3×2
Use the commutative property to reorder the terms
2w3
2w3−24
Solution
2(w3−12)
Show Solution

Find the roots
w=312
Alternative Form
w≈2.289428
Evaluate
w2×2w−24
To find the roots of the expression,set the expression equal to 0
w2×2w−24=0
Multiply
More Steps

Multiply the terms
w2×2w
Multiply the terms with the same base by adding their exponents
w2+1×2
Add the numbers
w3×2
Use the commutative property to reorder the terms
2w3
2w3−24=0
Move the constant to the right-hand side and change its sign
2w3=0+24
Removing 0 doesn't change the value,so remove it from the expression
2w3=24
Divide both sides
22w3=224
Divide the numbers
w3=224
Divide the numbers
More Steps

Evaluate
224
Reduce the numbers
112
Calculate
12
w3=12
Take the 3-th root on both sides of the equation
3w3=312
Solution
w=312
Alternative Form
w≈2.289428
Show Solution
