Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
y3−5y2
Evaluate
(y−5)y2
Multiply the terms
y2(y−5)
Apply the distributive property
y2×y−y2×5
Multiply the terms
More Steps
Evaluate
y2×y
Use the product rule an×am=an+m to simplify the expression
y2+1
Add the numbers
y3
y3−y2×5
Solution
y3−5y2
Show Solution
Find the roots
y1=0,y2=5
Evaluate
(y−5)(y2)
To find the roots of the expression,set the expression equal to 0
(y−5)(y2)=0
Calculate
(y−5)y2=0
Multiply the terms
y2(y−5)=0
Separate the equation into 2 possible cases
y2=0y−5=0
The only way a power can be 0 is when the base equals 0
y=0y−5=0
Solve the equation
More Steps
Evaluate
y−5=0
Move the constant to the right-hand side and change its sign
y=0+5
Removing 0 doesn't change the value,so remove it from the expression
y=5
y=0y=5
Solution
y1=0,y2=5
Show Solution