Question
Simplify the expression
24x3−3
Evaluate
3x2×8x−3
Solution
More Steps

Evaluate
3x2×8x
Multiply the terms
24x2×x
Multiply the terms with the same base by adding their exponents
24x2+1
Add the numbers
24x3
24x3−3
Show Solution

Factor the expression
3(2x−1)(4x2+2x+1)
Evaluate
3x2×8x−3
Evaluate
More Steps

Evaluate
3x2×8x
Multiply the terms
24x2×x
Multiply the terms with the same base by adding their exponents
24x2+1
Add the numbers
24x3
24x3−3
Factor out 3 from the expression
3(8x3−1)
Solution
More Steps

Evaluate
8x3−1
Rewrite the expression in exponential form
(2x)3−13
Use a3−b3=(a−b)(a2+ab+b2) to factor the expression
(2x−1)((2x)2+2x×1+12)
Evaluate
More Steps

Evaluate
(2x)2
To raise a product to a power,raise each factor to that power
22x2
Evaluate the power
4x2
(2x−1)(4x2+2x×1+12)
Any expression multiplied by 1 remains the same
(2x−1)(4x2+2x+12)
1 raised to any power equals to 1
(2x−1)(4x2+2x+1)
3(2x−1)(4x2+2x+1)
Show Solution

Find the roots
x=21
Alternative Form
x=0.5
Evaluate
3x2×8x−3
To find the roots of the expression,set the expression equal to 0
3x2×8x−3=0
Multiply
More Steps

Multiply the terms
3x2×8x
Multiply the terms
24x2×x
Multiply the terms with the same base by adding their exponents
24x2+1
Add the numbers
24x3
24x3−3=0
Move the constant to the right-hand side and change its sign
24x3=0+3
Removing 0 doesn't change the value,so remove it from the expression
24x3=3
Divide both sides
2424x3=243
Divide the numbers
x3=243
Cancel out the common factor 3
x3=81
Take the 3-th root on both sides of the equation
3x3=381
Calculate
x=381
Solution
More Steps

Evaluate
381
To take a root of a fraction,take the root of the numerator and denominator separately
3831
Simplify the radical expression
381
Simplify the radical expression
More Steps

Evaluate
38
Write the number in exponential form with the base of 2
323
Reduce the index of the radical and exponent with 3
2
21
x=21
Alternative Form
x=0.5
Show Solution
