Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
y2−8y+15
Evaluate
(y−3)(y−5)
Apply the distributive property
y×y−y×5−3y−(−3×5)
Multiply the terms
y2−y×5−3y−(−3×5)
Use the commutative property to reorder the terms
y2−5y−3y−(−3×5)
Multiply the numbers
y2−5y−3y−(−15)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
y2−5y−3y+15
Solution
More Steps
Evaluate
−5y−3y
Collect like terms by calculating the sum or difference of their coefficients
(−5−3)y
Subtract the numbers
−8y
y2−8y+15
Show Solution
Find the roots
y1=3,y2=5
Evaluate
(y−3)(y−5)
To find the roots of the expression,set the expression equal to 0
(y−3)(y−5)=0
Separate the equation into 2 possible cases
y−3=0y−5=0
Solve the equation
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−5=0
Solve the equation
More Steps
Evaluate
y−5=0
Move the constant to the right-hand side and change its sign
y=0+5
Removing 0 doesn't change the value,so remove it from the expression
y=5
y=3y=5
Solution
y1=3,y2=5
Show Solution