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15y^{2}-3yx+5xy-x^{2}
Apply the distributive property by multiplying each term of 3y+x by each term of 5y-x.
15y^{2}+2yx-x^{2}
Combine -3yx and 5xy to get 2yx.
15y^{2}-3yx+5xy-x^{2}
Apply the distributive property by multiplying each term of 3y+x by each term of 5y-x.
15y^{2}+2yx-x^{2}
Combine -3yx and 5xy to get 2yx.