Question
Simplify the expression
70x3−70x2
Evaluate
5(x×14(x−1)x)
Remove the parentheses
5x×14(x−1)x
Multiply the terms
70x(x−1)x
Multiply the terms
70x2(x−1)
Apply the distributive property
70x2×x−70x2×1
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
70x3−70x2×1
Solution
70x3−70x2
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Find the roots
x1=0,x2=1
Evaluate
5(x×14(x−1)x)
To find the roots of the expression,set the expression equal to 0
5(x×14(x−1)x)=0
Multiply
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Multiply the terms
x×14(x−1)x
Multiply the terms
x2×14(x−1)
Use the commutative property to reorder the terms
14x2(x−1)
5×14x2(x−1)=0
Multiply the terms
70x2(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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