Special product patterns occur for problems such as $( x + y ) ^ { 2 }$ and $x ^ { 2 } + y ^ { 2 }$ .

Name: Special product patterns occur for problems such as $( x + y ) ^ { 2 }$ and $x ^ { 2 } + y ^ { 2 }$ .
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The expression $(x + y)^2$ is a special product pattern known as the square of a binomial, which expands to $x^2 + 2xy + y^2$. However, $x^2 + y^2$ is not a special product pattern; it is simply the sum of two squares and does not have a factored form using real numbers.

Special Product Patterns Occur for Problems Such As (x+y)2( x + y ) ^ { 2 }(x+y)2

Special Product Patterns Occur for Problems Such As $( x + y ) ^ { 2 }$