exam Maths Puzzle Numerical Ability

Can anyone give me any tips or examples on factoring the difference between two squares and perfect trinomial squares. Thanks

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exam Other Question

f(x)=e^(2x)
What is f(1/4)? A 59-m rope is cut into three pieces. The second piece is twice as long as the first. The third piece is 3m long than the first. How long is each piece of rope?