Question
Simplify the expression
Solution
3n3−2n7
Evaluate
(n×1)(3n2−2n6)
Remove the parentheses
n×1×(3n2−2n6)
Multiply the terms
n(3n2−2n6)
Apply the distributive property
n×3n2−n×2n6
Multiply the terms
More Steps
Evaluate
n×3n2
Use the commutative property to reorder the terms
3n×n2
Multiply the terms
More Steps
Evaluate
n×n2
Use the product rule an×am=an+m to simplify the expression
n1+2
Add the numbers
n3
3n3
3n3−n×2n6
Solution
More Steps
Evaluate
n×2n6
Use the commutative property to reorder the terms
2n×n6
Multiply the terms
More Steps
Evaluate
n×n6
Use the product rule an×am=an+m to simplify the expression
n1+6
Add the numbers
n7
2n7
3n3−2n7
Show Solution
Factor the expression
Factor
n3(3−2n4)
Evaluate
(n×1)(3n2−2n6)
Remove the parentheses
n×1×(3n2−2n6)
Any expression multiplied by 1 remains the same
n(3n2−2n6)
Factor the expression
More Steps
Evaluate
3n2−2n6
Rewrite the expression
n2×3−n2×2n4
Factor out n2 from the expression
n2(3−2n4)
n×n2(3−2n4)
Solution
n3(3−2n4)
Show Solution
Find the roots
Find the roots of the algebra expression
n1=−2424,n2=0,n3=2424
Alternative Form
n1≈−1.106682,n2=0,n3≈1.106682
Evaluate
(n×1)(3n2−2n6)
To find the roots of the expression,set the expression equal to 0
(n×1)(3n2−2n6)=0
Any expression multiplied by 1 remains the same
n(3n2−2n6)=0
Separate the equation into 2 possible cases
n=03n2−2n6=0
Solve the equation
More Steps
Evaluate
3n2−2n6=0
Factor the expression
n2(3−2n4)=0
Separate the equation into 2 possible cases
n2=03−2n4=0
The only way a power can be 0 is when the base equals 0
n=03−2n4=0
Solve the equation
More Steps
Evaluate
3−2n4=0
Move the constant to the right-hand side and change its sign
−2n4=0−3
Removing 0 doesn't change the value,so remove it from the expression
−2n4=−3
Change the signs on both sides of the equation
2n4=3
Divide both sides
22n4=23
Divide the numbers
n4=23
Take the root of both sides of the equation and remember to use both positive and negative roots
n=±423
Simplify the expression
n=±2424
Separate the equation into 2 possible cases
n=2424n=−2424
n=0n=2424n=−2424
n=0n=0n=2424n=−2424
Find the union
n=0n=2424n=−2424
Solution
n1=−2424,n2=0,n3=2424
Alternative Form
n1≈−1.106682,n2=0,n3≈1.106682
Show Solution