Question
Simplify the expression
6y5−8y4
Evaluate
2y4(3y−4)
Apply the distributive property
2y4×3y−2y4×4
Multiply the terms
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Evaluate
2y4×3y
Multiply the numbers
6y4×y
Multiply the terms
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Evaluate
y4×y
Use the product rule an×am=an+m to simplify the expression
y4+1
Add the numbers
y5
6y5
6y5−2y4×4
Solution
6y5−8y4
Show Solution

Find the roots
y1=0,y2=34
Alternative Form
y1=0,y2=1.3˙
Evaluate
(2y4)(3y−4)
To find the roots of the expression,set the expression equal to 0
(2y4)(3y−4)=0
Multiply the terms
2y4(3y−4)=0
Elimination the left coefficient
y4(3y−4)=0
Separate the equation into 2 possible cases
y4=03y−4=0
The only way a power can be 0 is when the base equals 0
y=03y−4=0
Solve the equation
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Evaluate
3y−4=0
Move the constant to the right-hand side and change its sign
3y=0+4
Removing 0 doesn't change the value,so remove it from the expression
3y=4
Divide both sides
33y=34
Divide the numbers
y=34
y=0y=34
Solution
y1=0,y2=34
Alternative Form
y1=0,y2=1.3˙
Show Solution
