Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
v2−7v+12
Evaluate
(v−3)(v−4)
Apply the distributive property
v×v−v×4−3v−(−3×4)
Multiply the terms
v2−v×4−3v−(−3×4)
Use the commutative property to reorder the terms
v2−4v−3v−(−3×4)
Multiply the numbers
v2−4v−3v−(−12)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
v2−4v−3v+12
Solution
More Steps
Evaluate
−4v−3v
Collect like terms by calculating the sum or difference of their coefficients
(−4−3)v
Subtract the numbers
−7v
v2−7v+12
Show Solution
Find the roots
v1=3,v2=4
Evaluate
(v−3)(v−4)
To find the roots of the expression,set the expression equal to 0
(v−3)(v−4)=0
Separate the equation into 2 possible cases
v−3=0v−4=0
Solve the equation
More Steps
Evaluate
v−3=0
Move the constant to the right-hand side and change its sign
v=0+3
Removing 0 doesn't change the value,so remove it from the expression
v=3
v=3v−4=0
Solve the equation
More Steps
Evaluate
v−4=0
Move the constant to the right-hand side and change its sign
v=0+4
Removing 0 doesn't change the value,so remove it from the expression
v=4
v=3v=4
Solution
v1=3,v2=4
Show Solution