Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(y−3)(y+2)
Evaluate
y2−y−6
Rewrite the expression
y2+(2−3)y−6
Calculate
y2+2y−3y−6
Rewrite the expression
y×y+y×2−3y−3×2
Factor out y from the expression
y(y+2)−3y−3×2
Factor out −3 from the expression
y(y+2)−3(y+2)
Solution
(y−3)(y+2)
Show Solution
Find the roots
y1=−2,y2=3
Evaluate
y2−y−6
To find the roots of the expression,set the expression equal to 0
y2−y−6=0
Factor the expression
More Steps
Evaluate
y2−y−6
Rewrite the expression
y2+(2−3)y−6
Calculate
y2+2y−3y−6
Rewrite the expression
y×y+y×2−3y−3×2
Factor out y from the expression
y(y+2)−3y−3×2
Factor out −3 from the expression
y(y+2)−3(y+2)
Factor out y+2 from the expression
(y−3)(y+2)
(y−3)(y+2)=0
When the product of factors equals 0,at least one factor is 0
y−3=0y+2=0
Solve the equation for y
More Steps
Evaluate
y−3=0
Move the constant to the right-hand side and change its sign
y=0+3
Removing 0 doesn't change the value,so remove it from the expression
y=3
y=3y+2=0
Solve the equation for y
More Steps
Evaluate
y+2=0
Move the constant to the right-hand side and change its sign
y=0−2
Removing 0 doesn't change the value,so remove it from the expression
y=−2
y=3y=−2
Solution
y1=−2,y2=3
Show Solution