Question

Solve (x^2+2xy+y^2)(X+1)

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Answer 1

`\large\boxed{x^3+x^2+2x^2y+2xy+xy^2+y^2}`

Explanation:

Use FOIL: (a + b)(c + d) = ac + ad + bc + bd

`(x^2+2xy+y^2)(x+1)\\\\=(x^2)(x)+(x^2)(1)+(2xy)(x)+(2xy)(1)+(y^2)(x)+(y^2)(1)\\\\=x^3+x^2+2x^2y+2xy+xy^2+y^2`