factorise the expression using the common factor method
1) a(p+q)-b(p+q)
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ɢɪᴠᴇɴ :
ᴀ ( ᴘ + ǫ ) - ʙ ( ᴘ + ǫ )
= ( ᴀ - ʙ ) ( ᴘ + ǫ )
ᴏʀ
ᴀ ( ᴘ + ǫ ) - ʙ ( ᴘ + ǫ )
= ᴀᴘ + ᴀǫ - ʙᴘ - ʙǫ
= ᴀᴘ - ʙᴘ + ᴀǫ - ʙǫ
= ᴘ ( ᴀ - ʙ ) + ǫ ( ᴀ - ʙ )
= ( ᴘ + ǫ ) ( ᴀ - ʙ )
ᴀ ( ᴘ + ǫ ) - ʙ ( ᴘ + ǫ )
= ( ᴀ - ʙ ) ( ᴘ + ǫ )
ᴏʀ
ᴀ ( ᴘ + ǫ ) - ʙ ( ᴘ + ǫ )
= ᴀᴘ + ᴀǫ - ʙᴘ - ʙǫ
= ᴀᴘ - ʙᴘ + ᴀǫ - ʙǫ
= ᴘ ( ᴀ - ʙ ) + ǫ ( ᴀ - ʙ )
= ( ᴘ + ǫ ) ( ᴀ - ʙ )
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