Brandon W.

Student at Stanford University

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SAT II Mathematics Level 2

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Question:

Simplify (2X^2 + 4XY + 2Y^2)

Brandon W.

Answer:

First you can factor out 2 from the whole equation, and rewrite it as 2(X^2 + 2XY +Y^2) Next you can recognize that this is the sum of two squares, (X + Y) Thus the equations simplifies to 2(X + Y)^2

Physics (Newtonian Mechanics)

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Question:

Simplify (2X^2 + 4XY + 2Y^2)

Brandon W.

Answer:

First you can factor out 2 from the whole equation, and rewrite it as 2(X^2 + 2XY +Y^2) Next you can recognize that this is the sum of two squares, (X + Y) Thus the equations simplifies to 2(X + Y)^2

ACT

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Question:

Sales for a company were 4 million dollars more the second year than the first, and sales the third year were double the second year. If the sales the third year were 40 million, what were the sales the first year?

Brandon W.

Answer:

The most important part to this problem is understanding the problem. First, draw out all the information. 4 million increase from year 2 to year 1, and doubled amount from year 2 to year 3. If you set a variable "X" to year 1, X + 4 = year 2, and 2(X + 4)= year 3 You now know 2X + 8 = 40 2X = 32 X = 16 16 is your value, in millions, of sales the first year

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