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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?
Each of the three dimensions of a cube with a volume of y³ cubic centimeters is decreased by a whole number of centimeters. If the new volume is y³-13y² + 54y - 72 cubic centimeters and the new width is y - 6 centimeters, then what are the new length and height?
An area of a sail: a triangular sail has an area of x squared + 5x + 6 square meters and a height of x +3 meters. Find the length of the sail's base.
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