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\left(110x+10y+y\right)\left(10y+x\right)
Combine 100x and 10x to get 110x.
\left(110x+11y\right)\left(10y+x\right)
Combine 10y and y to get 11y.
1100xy+110x^{2}+110y^{2}+11yx
Apply the distributive property by multiplying each term of 110x+11y by each term of 10y+x.
1111xy+110x^{2}+110y^{2}
Combine 1100xy and 11yx to get 1111xy.
\left(110x+10y+y\right)\left(10y+x\right)
Combine 100x and 10x to get 110x.
\left(110x+11y\right)\left(10y+x\right)
Combine 10y and y to get 11y.
1100xy+110x^{2}+110y^{2}+11yx
Apply the distributive property by multiplying each term of 110x+11y by each term of 10y+x.
1111xy+110x^{2}+110y^{2}
Combine 1100xy and 11yx to get 1111xy.