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4x-\left(7yx+4y^{2}\right)-\left(2x+8y\right)\left(2x+5y\right)
Use the distributive property to multiply y by 7x+4y.
4x-7yx-4y^{2}-\left(2x+8y\right)\left(2x+5y\right)
To find the opposite of 7yx+4y^{2}, find the opposite of each term.
4x-7yx-4y^{2}-\left(4x^{2}+10xy+16yx+40y^{2}\right)
Apply the distributive property by multiplying each term of 2x+8y by each term of 2x+5y.
4x-7yx-4y^{2}-\left(4x^{2}+26xy+40y^{2}\right)
Combine 10xy and 16yx to get 26xy.
4x-7yx-4y^{2}-4x^{2}-26xy-40y^{2}
To find the opposite of 4x^{2}+26xy+40y^{2}, find the opposite of each term.
4x-33yx-4y^{2}-4x^{2}-40y^{2}
Combine -7yx and -26xy to get -33yx.
4x-33yx-44y^{2}-4x^{2}
Combine -4y^{2} and -40y^{2} to get -44y^{2}.
4x-\left(7yx+4y^{2}\right)-\left(2x+8y\right)\left(2x+5y\right)
Use the distributive property to multiply y by 7x+4y.
4x-7yx-4y^{2}-\left(2x+8y\right)\left(2x+5y\right)
To find the opposite of 7yx+4y^{2}, find the opposite of each term.
4x-7yx-4y^{2}-\left(4x^{2}+10xy+16yx+40y^{2}\right)
Apply the distributive property by multiplying each term of 2x+8y by each term of 2x+5y.
4x-7yx-4y^{2}-\left(4x^{2}+26xy+40y^{2}\right)
Combine 10xy and 16yx to get 26xy.
4x-7yx-4y^{2}-4x^{2}-26xy-40y^{2}
To find the opposite of 4x^{2}+26xy+40y^{2}, find the opposite of each term.
4x-33yx-4y^{2}-4x^{2}-40y^{2}
Combine -7yx and -26xy to get -33yx.
4x-33yx-44y^{2}-4x^{2}
Combine -4y^{2} and -40y^{2} to get -44y^{2}.