Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
3x4−6x3
Evaluate
x3(3x−6)
Apply the distributive property
x3×3x−x3×6
Multiply the terms
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Evaluate
x3×3x
Use the commutative property to reorder the terms
3x3×x
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
3x4
3x4−x3×6
Solution
3x4−6x3
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Factor the expression
3x3(x−2)
Evaluate
x3(3x−6)
Factor the expression
x3×3(x−2)
Solution
3x3(x−2)
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Find the roots
x1=0,x2=2
Evaluate
(x3)(3x−6)
To find the roots of the expression,set the expression equal to 0
(x3)(3x−6)=0
Calculate
x3(3x−6)=0
Separate the equation into 2 possible cases
x3=03x−6=0
The only way a power can be 0 is when the base equals 0
x=03x−6=0
Solve the equation
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Evaluate
3x−6=0
Move the constant to the right-hand side and change its sign
3x=0+6
Removing 0 doesn't change the value,so remove it from the expression
3x=6
Divide both sides
33x=36
Divide the numbers
x=36
Divide the numbers
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Evaluate
36
Reduce the numbers
12
Calculate
2
x=2
x=0x=2
Solution
x1=0,x2=2
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