Factorize of the following expressions: axy + bcxy - az - bcz - Vidyadip

Question

Factorize of the following expressions: $axy + bcxy - az - bcz$

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Answer

$axy + bcxy - az - bcz$
$= (axy + bcxy) - (az - bcz)= xy(a + bc) - z(a + bc)$
$= (xy - z)(a + bc) [$taking $(a + bc)$ as the common factor$]$

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