exam Maths Puzzle Numerical Ability

Factor each polynomial completely by factoring out any common factors and then factor by grouping. Do not combine like terms.

3a to the third power + 3ab squared = 2a squared b + 2b to the third power

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exam Other Question

Prove that f(x):=is uniformly continuous on A:=[0, ∞), but that it is not uniformly continuous on B:=(0, ∞).

Also show that if f is uniformly continuous on A in R, a (y+6)/20 - (x-1)/25 = 1
Find the coordinates of the vertices and the foci and the slopes of the asymptotes for each hyperbola whose equation is given. Then draw the graph.