(a+b)=a²+2ab+b²
(a+b)=a²-2ab+b²
(a+b)(a-b)=a²-b² by geometrically
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Answer:
1)a(a+b)+b(a+b)
= a²+ab+ba +b²
=a²+ab +ab+b²
=a²+2ab+b²
2) a(a-b)+b(a-b)
= a²-ab+ba-b²
=a²-ab-ab+b²
=a²-2ab+b²
3)a(a-b) + b(a-b)
= a²-ab+ba-b²
=a²-b²
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