Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
dm−dn
Evaluate
(m−1)d−(n−1)d
Multiply the terms
d(m−1)−(n−1)d
Multiply the terms
d(m−1)−d(n−1)
Expand the expression
More Steps
Calculate
d(m−1)
Apply the distributive property
dm−d×1
Any expression multiplied by 1 remains the same
dm−d
dm−d−d(n−1)
Expand the expression
More Steps
Calculate
−d(n−1)
Apply the distributive property
−dn−(−d×1)
Any expression multiplied by 1 remains the same
−dn−(−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
−dn+d
dm−d−dn+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
dm+0−dn
Solution
dm−dn
Show Solution
Factor the expression
d(m−n)
Evaluate
(m−1)d−(n−1)d
Multiply the terms
d(m−1)−(n−1)d
Multiply the terms
d(m−1)−d(n−1)
Rewrite the expression
d(m−1)+d(−n+1)
Factor out d from the expression
d(m−1−n+1)
Solution
d(m−n)
Show Solution