Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(y+3)(y+4)
Evaluate
y2+7y+12
Rewrite the expression
y2+(4+3)y+12
Calculate
y2+4y+3y+12
Rewrite the expression
y×y+y×4+3y+3×4
Factor out y from the expression
y(y+4)+3y+3×4
Factor out 3 from the expression
y(y+4)+3(y+4)
Solution
(y+3)(y+4)
Show Solution
Find the roots
y1=−4,y2=−3
Evaluate
y2+7y+12
To find the roots of the expression,set the expression equal to 0
y2+7y+12=0
Factor the expression
More Steps
Evaluate
y2+7y+12
Rewrite the expression
y2+(4+3)y+12
Calculate
y2+4y+3y+12
Rewrite the expression
y×y+y×4+3y+3×4
Factor out y from the expression
y(y+4)+3y+3×4
Factor out 3 from the expression
y(y+4)+3(y+4)
Factor out y+4 from the expression
(y+3)(y+4)
(y+3)(y+4)=0
When the product of factors equals 0,at least one factor is 0
y+3=0y+4=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+4=0
Solve the equation for y
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=−3y=−4
Solution
y1=−4,y2=−3
Show Solution