Question
Simplify the expression
Solution
dp−dq
Evaluate
(p−1)d−(q−1)d
Multiply the terms
d(p−1)−(q−1)d
Multiply the terms
d(p−1)−d(q−1)
Expand the expression
More Steps
Calculate
d(p−1)
Apply the distributive property
dp−d×1
Any expression multiplied by 1 remains the same
dp−d
dp−d−d(q−1)
Expand the expression
More Steps
Calculate
−d(q−1)
Apply the distributive property
−dq−(−d×1)
Any expression multiplied by 1 remains the same
−dq−(−d)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−dq+d
dp−d−dq+d
The sum of two opposites equals 0
More Steps
Evaluate
−d+d
Collect like terms
(−1+1)d
Add the coefficients
0×d
Calculate
0
dp+0−dq
Solution
dp−dq
Show Solution
Factor the expression
Factor
d(p−q)
Evaluate
(p−1)d−(q−1)d
Multiply the terms
d(p−1)−(q−1)d
Multiply the terms
d(p−1)−d(q−1)
Rewrite the expression
d(p−1)+d(−q+1)
Factor out d from the expression
d(p−1−q+1)
Solution
d(p−q)
Show Solution