Question

rút gọn biểu thức

\(A=x^2\left(x+y\right)+y^2\left(x+y\right)+2x^2y+2xy^2\)

Answer 1

\(A=x^2\left(x+y\right)+y^2\left(x+y\right)+2xy\left(x+y\right)\)

\(\Leftrightarrow A=\left(x+y\right)\left(x^2+2xy+y^2\right)=\left(x+y\right)\left(x+y\right)^2=\left(x+y\right)^3\)

Answer 2

\(A=x^2\left(x+y\right)+y^2\left(x+y\right)+2x^2y+2xy^2\)

\(\Leftrightarrow A=\left(x^2+y^2\right)\left(x+y\right)+2xy\left(x+y\right)\)

\(\Leftrightarrow\left(x^2+2xy+y^2\right)\left(x+y\right)\)

\(\Leftrightarrow A=\left(x+y\right)^2\left(x+y\right)\)

\(\Leftrightarrow A=\left(x+y\right)^3\)