Question
Simplify the expression
96y3−384y2
Evaluate
8×4y2×3(y−4)
Multiply the terms
More Steps

Evaluate
8×4×3
Multiply the terms
32×3
Multiply the numbers
96
96y2(y−4)
Apply the distributive property
96y2×y−96y2×4
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
96y3−96y2×4
Solution
96y3−384y2
Show Solution

Find the roots
y1=0,y2=4
Evaluate
8(4y2)×3(y−4)
To find the roots of the expression,set the expression equal to 0
8(4y2)×3(y−4)=0
Multiply the terms
8×4y2×3(y−4)=0
Multiply the terms
More Steps

Multiply the terms
8×4y2×3(y−4)
Multiply the terms
More Steps

Evaluate
8×4×3
Multiply the terms
32×3
Multiply the numbers
96
96y2(y−4)
96y2(y−4)=0
Elimination the left coefficient
y2(y−4)=0
Separate the equation into 2 possible cases
y2=0y−4=0
The only way a power can be 0 is when the base equals 0
y=0y−4=0
Solve the equation
More Steps

Evaluate
y−4=0
Move the constant to the right-hand side and change its sign
y=0+4
Removing 0 doesn't change the value,so remove it from the expression
y=4
y=0y=4
Solution
y1=0,y2=4
Show Solution
