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Expand the expression

Answer

Factorize the expression

Answer

$\left( x+y \right) ^{ 2 } + \left( x-y \right) \left( x+y \right)$

$2 x ^ { 2 } + 2 x y$

Organize polynomials

$\left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ y } \right ) ^ { \color{#FF6800}{ 2 } } + \left ( x - y \right ) \left ( x + y \right )$

$ $ Expand the binomial expression $ $

$\color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } + \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ y } + \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } + \left ( x - y \right ) \left ( x + y \right )$

$x ^ { 2 } + 2 x y + y ^ { 2 } + \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ y } \right ) \left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ y } \right )$

$ $ Organize the expression with the distributive law $ $

$x ^ { 2 } + 2 x y + y ^ { 2 } + \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } }$

$\color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } }$

$ $ Organize the similar terms $ $

$\left ( \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right ) \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ y } \color{#FF6800}{ + } \left ( \color{#FF6800}{ 1 } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right ) \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } }$

$\left ( \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right ) \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } + 2 x y + \left ( 1 - 1 \right ) y ^ { 2 }$

$ $ Arrange the constant term $ $

$\color{#FF6800}{ 2 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } + 2 x y + \left ( 1 - 1 \right ) y ^ { 2 }$

$2 x ^ { 2 } + 2 x y + \left ( \color{#FF6800}{ 1 } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right ) \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } }$

$ $ Organize the mononomial expression $ $

$2 x ^ { 2 } + 2 x y + \color{#FF6800}{ 0 }$

$2 x ^ { 2 } + 2 x y \color{#FF6800}{ + } \color{#FF6800}{ 0 }$

$ $ 0 does not change when you add or subtract $ $

$2 x ^ { 2 } + 2 x y$

$2 x \left ( x + y \right )$

Arrange the expression in the form of factorization..

$\left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ y } \right ) ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ y } \right ) \left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ y } \right )$

$ $ Expand the expression $ $

$\color{#FF6800}{ 2 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ y }$

$ $ Tie a common factor $ $

$\color{#FF6800}{ 2 } \color{#FF6800}{ x } \left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ y } \right )$

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