Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
a2−8a+15
Evaluate
(a−5)(a−3)
Apply the distributive property
a×a−a×3−5a−(−5×3)
Multiply the terms
a2−a×3−5a−(−5×3)
Use the commutative property to reorder the terms
a2−3a−5a−(−5×3)
Multiply the numbers
a2−3a−5a−(−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
a2−3a−5a+15
Solution
More Steps
Evaluate
−3a−5a
Collect like terms by calculating the sum or difference of their coefficients
(−3−5)a
Subtract the numbers
−8a
a2−8a+15
Show Solution
Find the roots
a1=3,a2=5
Evaluate
(a−5)(a−3)
To find the roots of the expression,set the expression equal to 0
(a−5)(a−3)=0
Separate the equation into 2 possible cases
a−5=0a−3=0
Solve the equation
More Steps
Evaluate
a−5=0
Move the constant to the right-hand side and change its sign
a=0+5
Removing 0 doesn't change the value,so remove it from the expression
a=5
a=5a−3=0
Solve the equation
More Steps
Evaluate
a−3=0
Move the constant to the right-hand side and change its sign
a=0+3
Removing 0 doesn't change the value,so remove it from the expression
a=3
a=5a=3
Solution
a1=3,a2=5
Show Solution