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Question
Factorize each of the following expressions:
xa2 + xb2 − ya2 − yb2
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Solution
\[x a^2 + x b^2 - y a^2 - y b^2 \]
\[ = (x a^2 + x b^2 ) - (y a^2 + y b^2 )\] [Grouping the expressions]
\[ = x( a^2 + b^2 ) - y( a^2 + b^2 )\]
\[ = (x - y)( a^2 + b^2 )\] [Taking \[ ( a^2 + b^2 )\] as the common factor]
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