Question
Simplify the expression
20x3−20x2
Evaluate
5(x×1)×4(x−1)x
Remove the parentheses
5x×1×4(x−1)x
Rewrite the expression
5x×4(x−1)x
Multiply the terms
20x(x−1)x
Multiply the terms
20x2(x−1)
Apply the distributive property
20x2×x−20x2×1
Multiply the terms
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Evaluate
x2×x
Use the product rule an×am=an+m to simplify the expression
x2+1
Add the numbers
x3
20x3−20x2×1
Solution
20x3−20x2
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Find the roots
x1=0,x2=1
Evaluate
5(x×1)×4(x−1)x
To find the roots of the expression,set the expression equal to 0
5(x×1)×4(x−1)x=0
Any expression multiplied by 1 remains the same
5x×4(x−1)x=0
Multiply
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Multiply the terms
5x×4(x−1)x
Multiply the terms
20x(x−1)x
Multiply the terms
20x2(x−1)
20x2(x−1)=0
Elimination the left coefficient
x2(x−1)=0
Separate the equation into 2 possible cases
x2=0x−1=0
The only way a power can be 0 is when the base equals 0
x=0x−1=0
Solve the equation
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Evaluate
x−1=0
Move the constant to the right-hand side and change its sign
x=0+1
Removing 0 doesn't change the value,so remove it from the expression
x=1
x=0x=1
Solution
x1=0,x2=1
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