Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
3(y−12)(y+8)
Evaluate
3y2−12y−288
Rewrite the expression
3y2−3×4y−3×96
Factor out 3 from the expression
3(y2−4y−96)
Solution
More Steps
Evaluate
y2−4y−96
Rewrite the expression
y2+(8−12)y−96
Calculate
y2+8y−12y−96
Rewrite the expression
y×y+y×8−12y−12×8
Factor out y from the expression
y(y+8)−12y−12×8
Factor out −12 from the expression
y(y+8)−12(y+8)
Factor out y+8 from the expression
(y−12)(y+8)
3(y−12)(y+8)
Show Solution
Find the roots
y1=−8,y2=12
Evaluate
3y2−12y−288
To find the roots of the expression,set the expression equal to 0
3y2−12y−288=0
Factor the expression
More Steps
Evaluate
3y2−12y−288
Rewrite the expression
3y2−3×4y−3×96
Factor out 3 from the expression
3(y2−4y−96)
Factor the expression
More Steps
Evaluate
y2−4y−96
Rewrite the expression
y2+(8−12)y−96
Calculate
y2+8y−12y−96
Rewrite the expression
y×y+y×8−12y−12×8
Factor out y from the expression
y(y+8)−12y−12×8
Factor out −12 from the expression
y(y+8)−12(y+8)
Factor out y+8 from the expression
(y−12)(y+8)
3(y−12)(y+8)
3(y−12)(y+8)=0
Divide the terms
(y−12)(y+8)=0
When the product of factors equals 0,at least one factor is 0
y−12=0y+8=0
Solve the equation for y
More Steps
Evaluate
y−12=0
Move the constant to the right-hand side and change its sign
y=0+12
Removing 0 doesn't change the value,so remove it from the expression
y=12
y=12y+8=0
Solve the equation for y
More Steps
Evaluate
y+8=0
Move the constant to the right-hand side and change its sign
y=0−8
Removing 0 doesn't change the value,so remove it from the expression
y=−8
y=12y=−8
Solution
y1=−8,y2=12
Show Solution