Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
6x3−2x5
Evaluate
2x(3x2−x4)
Apply the distributive property
2x×3x2−2x×x4
Multiply the terms
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Evaluate
2x×3x2
Multiply the numbers
6x×x2
Multiply the terms
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Evaluate
x×x2
Use the product rule an×am=an+m to simplify the expression
x1+2
Add the numbers
x3
6x3
6x3−2x×x4
Solution
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Evaluate
x×x4
Use the product rule an×am=an+m to simplify the expression
x1+4
Add the numbers
x5
6x3−2x5
Show Solution
Factor the expression
2x3(3−x2)
Evaluate
2x(3x2−x4)
Factor the expression
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Evaluate
3x2−x4
Rewrite the expression
x2×3−x2×x2
Factor out x2 from the expression
x2(3−x2)
2x×x2(3−x2)
Solution
2x3(3−x2)
Show Solution
Find the roots
x1=−3,x2=0,x3=3
Alternative Form
x1≈−1.732051,x2=0,x3≈1.732051
Evaluate
2x(3x2−x4)
To find the roots of the expression,set the expression equal to 0
2x(3x2−x4)=0
Elimination the left coefficient
x(3x2−x4)=0
Separate the equation into 2 possible cases
x=03x2−x4=0
Solve the equation
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Evaluate
3x2−x4=0
Factor the expression
x2(3−x2)=0
Separate the equation into 2 possible cases
x2=03−x2=0
The only way a power can be 0 is when the base equals 0
x=03−x2=0
Solve the equation
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Evaluate
3−x2=0
Move the constant to the right-hand side and change its sign
−x2=0−3
Removing 0 doesn't change the value,so remove it from the expression
−x2=−3
Change the signs on both sides of the equation
x2=3
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±3
Separate the equation into 2 possible cases
x=3x=−3
x=0x=3x=−3
x=0x=0x=3x=−3
Find the union
x=0x=3x=−3
Solution
x1=−3,x2=0,x3=3
Alternative Form
x1≈−1.732051,x2=0,x3≈1.732051
Show Solution