Question
Simplify the expression
8x4−24x3
Evaluate
8(x−3)x3
Multiply the terms
8x3(x−3)
Apply the distributive property
8x3×x−8x3×3
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
8x4−8x3×3
Solution
8x4−24x3
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Find the roots
x1=0,x2=3
Evaluate
8(x−3)(x3)
To find the roots of the expression,set the expression equal to 0
8(x−3)(x3)=0
Calculate
8(x−3)x3=0
Multiply the terms
8x3(x−3)=0
Elimination the left coefficient
x3(x−3)=0
Separate the equation into 2 possible cases
x3=0x−3=0
The only way a power can be 0 is when the base equals 0
x=0x−3=0
Solve the equation
More Steps

Evaluate
x−3=0
Move the constant to the right-hand side and change its sign
x=0+3
Removing 0 doesn't change the value,so remove it from the expression
x=3
x=0x=3
Solution
x1=0,x2=3
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