book Maths Puzzle Numerical Ability

I am trying to solve this problem. 54b + 2a3b. The answer that I was given was 2b(3+a)(9-3a+a2). I can get to the part of 2b(3+a)(27+a2). How do I break down (27+a2) I would n

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How many oz. of pure chocolate must be added to 150 oz that is 60% chocolate to make a topping that is 75% chocolate? What property is demonstrated in (5/9)(9/5)=1?