Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
y2−13y+36
Evaluate
(y−4)(y−9)
Apply the distributive property
y×y−y×9−4y−(−4×9)
Multiply the terms
y2−y×9−4y−(−4×9)
Use the commutative property to reorder the terms
y2−9y−4y−(−4×9)
Multiply the numbers
y2−9y−4y−(−36)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
y2−9y−4y+36
Solution
More Steps
Evaluate
−9y−4y
Collect like terms by calculating the sum or difference of their coefficients
(−9−4)y
Subtract the numbers
−13y
y2−13y+36
Show Solution
Find the roots
y1=4,y2=9
Evaluate
(y−4)(y−9)
To find the roots of the expression,set the expression equal to 0
(y−4)(y−9)=0
Separate the equation into 2 possible cases
y−4=0y−9=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=4y−9=0
Solve the equation
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=4y=9
Solution
y1=4,y2=9
Show Solution