Question
Simplify the expression
Solution
4d2−16d+12
Evaluate
(d−3)(4d−4)
Apply the distributive property
d×4d−d×4−3×4d−(−3×4)
Multiply the terms
More Steps
Evaluate
d×4d
Use the commutative property to reorder the terms
4d×d
Multiply the terms
4d2
4d2−d×4−3×4d−(−3×4)
Use the commutative property to reorder the terms
4d2−4d−3×4d−(−3×4)
Multiply the numbers
4d2−4d−12d−(−3×4)
Multiply the numbers
4d2−4d−12d−(−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
4d2−4d−12d+12
Solution
More Steps
Evaluate
−4d−12d
Collect like terms by calculating the sum or difference of their coefficients
(−4−12)d
Subtract the numbers
−16d
4d2−16d+12
Show Solution
Factor the expression
Factor
4(d−3)(d−1)
Evaluate
(d−3)(4d−4)
Factor the expression
(d−3)×4(d−1)
Solution
4(d−3)(d−1)
Show Solution
Find the roots
Find the roots of the algebra expression
d1=1,d2=3
Evaluate
(d−3)(4d−4)
To find the roots of the expression,set the expression equal to 0
(d−3)(4d−4)=0
Separate the equation into 2 possible cases
d−3=04d−4=0
Solve the equation
More Steps
Evaluate
d−3=0
Move the constant to the right-hand side and change its sign
d=0+3
Removing 0 doesn't change the value,so remove it from the expression
d=3
d=34d−4=0
Solve the equation
More Steps
Evaluate
4d−4=0
Move the constant to the right-hand side and change its sign
4d=0+4
Removing 0 doesn't change the value,so remove it from the expression
4d=4
Divide both sides
44d=44
Divide the numbers
d=44
Divide the numbers
More Steps
Evaluate
44
Reduce the numbers
11
Calculate
1
d=1
d=3d=1
Solution
d1=1,d2=3
Show Solution