Question
Simplify the expression
4x4−8x3
Evaluate
2x3×2(x−2)
Multiply the terms
4x3(x−2)
Apply the distributive property
4x3×x−4x3×2
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
4x4−4x3×2
Solution
4x4−8x3
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Find the roots
x1=0,x2=2
Evaluate
2(x3)×2(x−2)
To find the roots of the expression,set the expression equal to 0
2(x3)×2(x−2)=0
Calculate
2x3×2(x−2)=0
Multiply the terms
4x3(x−2)=0
Elimination the left coefficient
x3(x−2)=0
Separate the equation into 2 possible cases
x3=0x−2=0
The only way a power can be 0 is when the base equals 0
x=0x−2=0
Solve the equation
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Evaluate
x−2=0
Move the constant to the right-hand side and change its sign
x=0+2
Removing 0 doesn't change the value,so remove it from the expression
x=2
x=0x=2
Solution
x1=0,x2=2
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