(3x+7) (2y-4) - (x+5) (3y-1)
Answer is 3xy-11x-y-23
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Answer: 3xy-11x-y-23
Step-by-step explanation:
(3x+7)(2y−4)−(x+5)(3y−1)
Apply the distributive property by multiplying each term of 3x+7 by each term of 2y−4.
6xy−12x+14y−28−(x+5)(3y−1)
Apply the distributive property by multiplying each term of x+5 by each term of 3y−1.
6xy−12x+14y−28−(3xy−x+15y−5)
To find the opposite of 3xy−x+15y−5, find the opposite of each term.
6xy−12x+14y−28−3xy−(−x)−15y−(−5)
The opposite of −x is x.
6xy−12x+14y−28−3xy+x−15y−(−5)
The opposite of −5 is 5.
6xy−12x+14y−28−3xy+x−15y+5
Combine 6xy and −3xy to get 3xy.
3xy−12x+14y−28+x−15y+5
Combine −12x and x to get −11x.
3xy−11x+14y−28−15y+5
Combine 14y and −15y to get −y.
3xy−11x−y−28+5
Add −28 and 5 to get −23.
3xy−11x−y−23
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