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24x^{2}-17xy-44y^{2}
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24x^{2}-17xy-44y^{2}
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28x^{2}+16xy-7yx-4y^{2}-\left(2x+8y\right)\left(2x+5y\right)
Apply the distributive property by multiplying each term of 4x-y by each term of 7x+4y.
28x^{2}+9xy-4y^{2}-\left(2x+8y\right)\left(2x+5y\right)
Combine 16xy and -7yx to get 9xy.
28x^{2}+9xy-4y^{2}-\left(4x^{2}+10xy+16xy+40y^{2}\right)
Apply the distributive property by multiplying each term of 2x+8y by each term of 2x+5y.
28x^{2}+9xy-4y^{2}-\left(4x^{2}+26xy+40y^{2}\right)
Combine 10xy and 16xy to get 26xy.
28x^{2}+9xy-4y^{2}-4x^{2}-26xy-40y^{2}
To find the opposite of 4x^{2}+26xy+40y^{2}, find the opposite of each term.
24x^{2}+9xy-4y^{2}-26xy-40y^{2}
Combine 28x^{2} and -4x^{2} to get 24x^{2}.
24x^{2}-17xy-4y^{2}-40y^{2}
Combine 9xy and -26xy to get -17xy.
24x^{2}-17xy-44y^{2}
Combine -4y^{2} and -40y^{2} to get -44y^{2}.
28x^{2}+16xy-7yx-4y^{2}-\left(2x+8y\right)\left(2x+5y\right)
Apply the distributive property by multiplying each term of 4x-y by each term of 7x+4y.
28x^{2}+9xy-4y^{2}-\left(2x+8y\right)\left(2x+5y\right)
Combine 16xy and -7yx to get 9xy.
28x^{2}+9xy-4y^{2}-\left(4x^{2}+10xy+16xy+40y^{2}\right)
Apply the distributive property by multiplying each term of 2x+8y by each term of 2x+5y.
28x^{2}+9xy-4y^{2}-\left(4x^{2}+26xy+40y^{2}\right)
Combine 10xy and 16xy to get 26xy.
28x^{2}+9xy-4y^{2}-4x^{2}-26xy-40y^{2}
To find the opposite of 4x^{2}+26xy+40y^{2}, find the opposite of each term.
24x^{2}+9xy-4y^{2}-26xy-40y^{2}
Combine 28x^{2} and -4x^{2} to get 24x^{2}.
24x^{2}-17xy-4y^{2}-40y^{2}
Combine 9xy and -26xy to get -17xy.
24x^{2}-17xy-44y^{2}
Combine -4y^{2} and -40y^{2} to get -44y^{2}.
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