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Showthat (a+bi)2 = (a+b)(a−b) + 2abi

see below

Step-by-step explanation:

(a + bi)²

= a² + 2abi + b²i² (This is because (a + b)² = a² + 2ab + b²; in this case, a = a and b = bi)

= a² + 2abi + b² · (-1) (This is because i² = -1)

= a² - b² + 2abi (Simplify, rearrange)

= (a + b)(a - b) + 2abi (This is because a² - b² factors to (a + b)(a - b))

Hope this helps!

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this

if you need just tell me and i will come to the rescue.

step-by-step explanation: