Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x4−3x6
Evaluate
(x2×1)(x2−3x4)
Remove the parentheses
x2×1×(x2−3x4)
Multiply the terms
x2(x2−3x4)
Apply the distributive property
x2×x2−x2×3x4
Multiply the terms
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Evaluate
x2×x2
Use the product rule an×am=an+m to simplify the expression
x2+2
Add the numbers
x4
x4−x2×3x4
Solution
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Evaluate
x2×3x4
Use the commutative property to reorder the terms
3x2×x4
Multiply the terms
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Evaluate
x2×x4
Use the product rule an×am=an+m to simplify the expression
x2+4
Add the numbers
x6
3x6
x4−3x6
Show Solution
Factor the expression
x4(1−3x2)
Evaluate
(x2×1)(x2−3x4)
Remove the parentheses
x2×1×(x2−3x4)
Any expression multiplied by 1 remains the same
x2(x2−3x4)
Factor the expression
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Evaluate
x2−3x4
Rewrite the expression
x2−x2×3x2
Factor out x2 from the expression
x2(1−3x2)
x2×x2(1−3x2)
Solution
x4(1−3x2)
Show Solution
Find the roots
x1=−33,x2=0,x3=33
Alternative Form
x1≈−0.57735,x2=0,x3≈0.57735
Evaluate
(x2×1)(x2−3x4)
To find the roots of the expression,set the expression equal to 0
(x2×1)(x2−3x4)=0
Any expression multiplied by 1 remains the same
x2(x2−3x4)=0
Separate the equation into 2 possible cases
x2=0x2−3x4=0
The only way a power can be 0 is when the base equals 0
x=0x2−3x4=0
Solve the equation
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Evaluate
x2−3x4=0
Factor the expression
x2(1−3x2)=0
Separate the equation into 2 possible cases
x2=01−3x2=0
The only way a power can be 0 is when the base equals 0
x=01−3x2=0
Solve the equation
More Steps
Evaluate
1−3x2=0
Move the constant to the right-hand side and change its sign
−3x2=0−1
Removing 0 doesn't change the value,so remove it from the expression
−3x2=−1
Change the signs on both sides of the equation
3x2=1
Divide both sides
33x2=31
Divide the numbers
x2=31
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±31
Simplify the expression
x=±33
Separate the equation into 2 possible cases
x=33x=−33
x=0x=33x=−33
x=0x=0x=33x=−33
Find the union
x=0x=33x=−33
Solution
x1=−33,x2=0,x3=33
Alternative Form
x1≈−0.57735,x2=0,x3≈0.57735
Show Solution