book Maths Puzzle Numerical Ability

Bruce Blossum invested some money at 10% annual simple interest and invested twice that amount at 12% annual simple interest. If his total yearly income from both investments was $

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A student thinks that the expression (a+b)2 and a2+b2 are equal to one another. How would you explain to the student why this is not so? Would be grateful for assistance with this:
I have drawn the graph of modulus function g(x)=/x+3/-2
I have to solve equation g(x)=1 and explain geometrical significance of answer