Question
Simplify the expression
16x4−12x3
Evaluate
4x3(4x−3)
Apply the distributive property
4x3×4x−4x3×3
Multiply the terms
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Evaluate
4x3×4x
Multiply the numbers
16x3×x
Multiply the terms
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Evaluate
x3×x
Use the product rule an×am=an+m to simplify the expression
x3+1
Add the numbers
x4
16x4
16x4−4x3×3
Solution
16x4−12x3
Show Solution

Find the roots
x1=0,x2=43
Alternative Form
x1=0,x2=0.75
Evaluate
(4x3)(4x−3)
To find the roots of the expression,set the expression equal to 0
(4x3)(4x−3)=0
Multiply the terms
4x3(4x−3)=0
Elimination the left coefficient
x3(4x−3)=0
Separate the equation into 2 possible cases
x3=04x−3=0
The only way a power can be 0 is when the base equals 0
x=04x−3=0
Solve the equation
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Evaluate
4x−3=0
Move the constant to the right-hand side and change its sign
4x=0+3
Removing 0 doesn't change the value,so remove it from the expression
4x=3
Divide both sides
44x=43
Divide the numbers
x=43
x=0x=43
Solution
x1=0,x2=43
Alternative Form
x1=0,x2=0.75
Show Solution
