what a square into b square
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Answer:
a² + b²= (a+b)²- 2ab a² + b²=... - Mathematical Formula |
Step-by-step explanation:
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Answered by
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Step-by-step explanation:
We can say, (a+b)²= (a+b)(a+b)
More information:-
= a(a+b)+b(a+b) [Addition Distributive Law]
=a²+ab+ba+b² [Addition Distributive Law]
=a²+ab+ab+b² [Multiplication Commutative Law]
=a²+2ab+b²
So (a+b)²= a²+2ab+b²
that is (a+b)² -2ab = a²+2ab+b² -2ab= a²+2ab-2ab+b² = a²+0+b²
= a²+b² [Addition Law of Identity]
So, a²+b²= (a+b)² -2ab
above the same pattern we know
(a-b)²= a²- 2ab+b²
that is (a-b)² +2ab =a²-2ab+b²+2ab= a²-2ab+2ab+b² = a²+0+b²
= a²+b² [Addition Law of Identity]
So,
a²+b²= (a-b)² +2ab
So we can say a²+b²= (a-b)² +2ab
and also
a²+b²= (a+b)² -2ab.
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