Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x6−4x5
Evaluate
x×x4(x−4)
Multiply the terms with the same base by adding their exponents
x1+4(x−4)
Add the numbers
x5(x−4)
Apply the distributive property
x5×x−x5×4
Multiply the terms
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Evaluate
x5×x
Use the product rule an×am=an+m to simplify the expression
x5+1
Add the numbers
x6
x6−x5×4
Solution
x6−4x5
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Find the roots
x1=0,x2=4
Evaluate
x(x4)(x−4)
To find the roots of the expression,set the expression equal to 0
x(x4)(x−4)=0
Calculate
x×x4(x−4)=0
Multiply
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Multiply the terms
x×x4(x−4)
Multiply the terms with the same base by adding their exponents
x1+4(x−4)
Add the numbers
x5(x−4)
x5(x−4)=0
Separate the equation into 2 possible cases
x5=0x−4=0
The only way a power can be 0 is when the base equals 0
x=0x−4=0
Solve the equation
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Evaluate
x−4=0
Move the constant to the right-hand side and change its sign
x=0+4
Removing 0 doesn't change the value,so remove it from the expression
x=4
x=0x=4
Solution
x1=0,x2=4
Show Solution