Evaluate
10x^{2}-59xy+16y^{2}+9y
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10x^{2}-59xy+16y^{2}+9y
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16x^{2}-9y^{2}-\left(35xy-10x^{2}-25y^{2}\right)-16x^{2}-24xy+9y
Use the distributive property to multiply 5x-5y by 5y-2x and combine like terms.
16x^{2}-9y^{2}-35xy+10x^{2}+25y^{2}-16x^{2}-24xy+9y
To find the opposite of 35xy-10x^{2}-25y^{2}, find the opposite of each term.
26x^{2}-9y^{2}-35xy+25y^{2}-16x^{2}-24xy+9y
Combine 16x^{2} and 10x^{2} to get 26x^{2}.
26x^{2}+16y^{2}-35xy-16x^{2}-24xy+9y
Combine -9y^{2} and 25y^{2} to get 16y^{2}.
10x^{2}+16y^{2}-35xy-24xy+9y
Combine 26x^{2} and -16x^{2} to get 10x^{2}.
10x^{2}+16y^{2}-59xy+9y
Combine -35xy and -24xy to get -59xy.
16x^{2}-9y^{2}-\left(35xy-10x^{2}-25y^{2}\right)-16x^{2}-24xy+9y
Use the distributive property to multiply 5x-5y by 5y-2x and combine like terms.
16x^{2}-9y^{2}-35xy+10x^{2}+25y^{2}-16x^{2}-24xy+9y
To find the opposite of 35xy-10x^{2}-25y^{2}, find the opposite of each term.
26x^{2}-9y^{2}-35xy+25y^{2}-16x^{2}-24xy+9y
Combine 16x^{2} and 10x^{2} to get 26x^{2}.
26x^{2}+16y^{2}-35xy-16x^{2}-24xy+9y
Combine -9y^{2} and 25y^{2} to get 16y^{2}.
10x^{2}+16y^{2}-35xy-24xy+9y
Combine 26x^{2} and -16x^{2} to get 10x^{2}.
10x^{2}+16y^{2}-59xy+9y
Combine -35xy and -24xy to get -59xy.
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