Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
4y5−8y4
Evaluate
2y4(2y−4)
Apply the distributive property
2y4×2y−2y4×4
Multiply the terms
More Steps
Evaluate
2y4×2y
Multiply the numbers
4y4×y
Multiply the terms
More Steps
Evaluate
y4×y
Use the product rule an×am=an+m to simplify the expression
y4+1
Add the numbers
y5
4y5
4y5−2y4×4
Solution
4y5−8y4
Show Solution
Factor the expression
4y4(y−2)
Evaluate
2y4(2y−4)
Factor the expression
2y4×2(y−2)
Solution
4y4(y−2)
Show Solution
Find the roots
y1=0,y2=2
Evaluate
(2y4)(2y−4)
To find the roots of the expression,set the expression equal to 0
(2y4)(2y−4)=0
Multiply the terms
2y4(2y−4)=0
Elimination the left coefficient
y4(2y−4)=0
Separate the equation into 2 possible cases
y4=02y−4=0
The only way a power can be 0 is when the base equals 0
y=02y−4=0
Solve the equation
More Steps
Evaluate
2y−4=0
Move the constant to the right-hand side and change its sign
2y=0+4
Removing 0 doesn't change the value,so remove it from the expression
2y=4
Divide both sides
22y=24
Divide the numbers
y=24
Divide the numbers
More Steps
Evaluate
24
Reduce the numbers
12
Calculate
2
y=2
y=0y=2
Solution
y1=0,y2=2
Show Solution