Rule algebra.equations.buggy.distr-square

Description
Incorrect removal of parentheses in a squared addition: forgetting the 2ab term

Parameters
Buggy	yes
Rewrite rule	yes
Siblings	algebra.equations.quadratic.distr-square

Rewrite rule

(a+b)^2   ⇏   (a^2)+(b^2)
(a-b)^2   ⇏   (a^2)-(b^2)
(a-b)^2   ⇏   (a^2)+(b^2)

Formal Mathematical Properties

<FMP><OMOBJ xmlns="http://www.openmath.org/OpenMath" version="2.0" cdbase="http://www.openmath.org/cd"><OMBIND><OMS cd="quant1" name="exists"/><OMBVAR><OMV name="$0"/><OMV name="$1"/></OMBVAR><OMA><OMS cd="relation1" name="neq"/><OMA><OMS cd="arith1" name="power"/><OMA><OMS cd="arith1" name="plus"/><OMV name="$0"/><OMV name="$1"/></OMA><OMI>2</OMI></OMA><OMA><OMS cd="arith1" name="plus"/><OMA><OMS cd="arith1" name="power"/><OMV name="$0"/><OMI>2</OMI></OMA><OMA><OMS cd="arith1" name="power"/><OMV name="$1"/><OMI>2</OMI></OMA></OMA></OMA></OMBIND></OMOBJ></FMP>

<FMP><OMOBJ xmlns="http://www.openmath.org/OpenMath" version="2.0" cdbase="http://www.openmath.org/cd"><OMBIND><OMS cd="quant1" name="exists"/><OMBVAR><OMV name="$0"/><OMV name="$1"/></OMBVAR><OMA><OMS cd="relation1" name="neq"/><OMA><OMS cd="arith1" name="power"/><OMA><OMS cd="arith1" name="minus"/><OMV name="$0"/><OMV name="$1"/></OMA><OMI>2</OMI></OMA><OMA><OMS cd="arith1" name="minus"/><OMA><OMS cd="arith1" name="power"/><OMV name="$0"/><OMI>2</OMI></OMA><OMA><OMS cd="arith1" name="power"/><OMV name="$1"/><OMI>2</OMI></OMA></OMA></OMA></OMBIND></OMOBJ></FMP>

<FMP><OMOBJ xmlns="http://www.openmath.org/OpenMath" version="2.0" cdbase="http://www.openmath.org/cd"><OMBIND><OMS cd="quant1" name="exists"/><OMBVAR><OMV name="$0"/><OMV name="$1"/></OMBVAR><OMA><OMS cd="relation1" name="neq"/><OMA><OMS cd="arith1" name="power"/><OMA><OMS cd="arith1" name="minus"/><OMV name="$0"/><OMV name="$1"/></OMA><OMI>2</OMI></OMA><OMA><OMS cd="arith1" name="plus"/><OMA><OMS cd="arith1" name="power"/><OMV name="$0"/><OMI>2</OMI></OMA><OMA><OMS cd="arith1" name="power"/><OMV name="$1"/><OMI>2</OMI></OMA></OMA></OMA></OMBIND></OMOBJ></FMP>