Вопрос
Simplify the expression
x4−x3
Evaluate
x(x−1)x2
Multiply the terms with the same base by adding their exponents
x1+2(x−1)
Add the numbers
x3(x−1)
Apply the distributive property
x3×x−x3×1
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
x4−x3×1
Решение
x4−x3
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Find the roots
x1=0,x2=1
Evaluate
x(x−1)(x2)
To find the roots of the expression,set the expression equal to 0
x(x−1)(x2)=0
Calculate
x(x−1)x2=0
Multiply
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Multiply the terms
x(x−1)x2
Multiply the terms with the same base by adding their exponents
x1+2(x−1)
Add the numbers
x3(x−1)
x3(x−1)=0
Separate the equation into 2 possible cases
x3=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
Решение
x1=0,x2=1
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