Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(y−9)(y+6)
Evaluate
y2−3y−54
Rewrite the expression
y2+(6−9)y−54
Calculate
y2+6y−9y−54
Rewrite the expression
y×y+y×6−9y−9×6
Factor out y from the expression
y(y+6)−9y−9×6
Factor out −9 from the expression
y(y+6)−9(y+6)
Solution
(y−9)(y+6)
Show Solution
Find the roots
y1=−6,y2=9
Evaluate
y2−3y−54
To find the roots of the expression,set the expression equal to 0
y2−3y−54=0
Factor the expression
More Steps
Evaluate
y2−3y−54
Rewrite the expression
y2+(6−9)y−54
Calculate
y2+6y−9y−54
Rewrite the expression
y×y+y×6−9y−9×6
Factor out y from the expression
y(y+6)−9y−9×6
Factor out −9 from the expression
y(y+6)−9(y+6)
Factor out y+6 from the expression
(y−9)(y+6)
(y−9)(y+6)=0
When the product of factors equals 0,at least one factor is 0
y−9=0y+6=0
Solve the equation for y
More Steps
Evaluate
y−9=0
Move the constant to the right-hand side and change its sign
y=0+9
Removing 0 doesn't change the value,so remove it from the expression
y=9
y=9y+6=0
Solve the equation for y
More Steps
Evaluate
y+6=0
Move the constant to the right-hand side and change its sign
y=0−6
Removing 0 doesn't change the value,so remove it from the expression
y=−6
y=9y=−6
Solution
y1=−6,y2=9
Show Solution