Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x2−8x+15
Evaluate
(x−3)(x−5)
Apply the distributive property
x×x−x×5−3x−(−3×5)
Multiply the terms
x2−x×5−3x−(−3×5)
Use the commutative property to reorder the terms
x2−5x−3x−(−3×5)
Multiply the numbers
x2−5x−3x−(−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
x2−5x−3x+15
Solution
More Steps
Evaluate
−5x−3x
Collect like terms by calculating the sum or difference of their coefficients
(−5−3)x
Subtract the numbers
−8x
x2−8x+15
Show Solution
Find the roots
x1=3,x2=5
Evaluate
(x−3)(x−5)
To find the roots of the expression,set the expression equal to 0
(x−3)(x−5)=0
Separate the equation into 2 possible cases
x−3=0x−5=0
Solve the equation
More Steps
Evaluate
x−3=0
Move the constant to the right-hand side and change its sign
x=0+3
Removing 0 doesn't change the value,so remove it from the expression
x=3
x=3x−5=0
Solve the equation
More Steps
Evaluate
x−5=0
Move the constant to the right-hand side and change its sign
x=0+5
Removing 0 doesn't change the value,so remove it from the expression
x=5
x=3x=5
Solution
x1=3,x2=5
Show Solution