Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
12ma−8mb−30a+20b
Evaluate
(2m−5)(3a−2b)−(2m−5)(2b−3a)
Rewrite the expression
(2m−5)(3a−2b)+(−2m+5)(2b−3a)
Expand the expression
More Steps
Calculate
(2m−5)(3a−2b)
Apply the distributive property
2m×3a−2m×2b−5×3a−(−5×2b)
Multiply the numbers
6ma−2m×2b−5×3a−(−5×2b)
Multiply the numbers
6ma−4mb−5×3a−(−5×2b)
Multiply the numbers
6ma−4mb−15a−(−5×2b)
Multiply the numbers
6ma−4mb−15a−(−10b)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
6ma−4mb−15a+10b
6ma−4mb−15a+10b+(−2m+5)(2b−3a)
Expand the expression
More Steps
Calculate
(−2m+5)(2b−3a)
Apply the distributive property
−2m×2b−(−2m×3a)+5×2b−5×3a
Multiply the numbers
−4mb−(−2m×3a)+5×2b−5×3a
Multiply the numbers
−4mb−(−6ma)+5×2b−5×3a
Multiply the numbers
−4mb−(−6ma)+10b−5×3a
Multiply the numbers
−4mb−(−6ma)+10b−15a
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−4mb+6ma+10b−15a
6ma−4mb−15a+10b−4mb+6ma+10b−15a
Add the terms
More Steps
Evaluate
6ma+6ma
Collect like terms by calculating the sum or difference of their coefficients
(6+6)ma
Add the numbers
12ma
12ma−4mb−15a+10b−4mb+10b−15a
Subtract the terms
More Steps
Evaluate
−4mb−4mb
Collect like terms by calculating the sum or difference of their coefficients
(−4−4)mb
Subtract the numbers
−8mb
12ma−8mb−15a+10b+10b−15a
Subtract the terms
More Steps
Evaluate
−15a−15a
Collect like terms by calculating the sum or difference of their coefficients
(−15−15)a
Subtract the numbers
−30a
12ma−8mb−30a+10b+10b
Solution
More Steps
Evaluate
10b+10b
Collect like terms by calculating the sum or difference of their coefficients
(10+10)b
Add the numbers
20b
12ma−8mb−30a+20b
Show Solution
Factor the expression
2(2m−5)(3a−2b)
Evaluate
(2m−5)(3a−2b)−(2m−5)(2b−3a)
Rewrite the expression
(2m−5)(3a−2b)+(−2m+5)(2b−3a)
Add the terms
2(6ma−4mb−15a+10b)
Solution
More Steps
Evaluate
6ma−4mb−15a+10b
Rewrite the expression
2m×3a−2m×2b−5×3a+5×2b
Factor out 2m from the expression
2m(3a−2b)−5×3a+5×2b
Factor out −5 from the expression
2m(3a−2b)−5(3a−2b)
Factor out 3a−2b from the expression
(2m−5)(3a−2b)
2(2m−5)(3a−2b)
Show Solution