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# Core 4 Algebraic Fractions

1. show that 1/(4x^2 - 1) +1/(2x + 1)^2 expressed as a single fraction is 4x/(2x+1)^2(2x-1)

I presume you make the denominator the same so you get
(2x + 1)^2 + 4x^2 -1 / 4x^2-1(2x + 1)^2
2. Overkill. You can make the denominator the same without multiplying through everything. Note that (2x+1) is a factor of (4x^2-1), by the difference of two squares, so your lowest common multiple is (2x-1)*(2x+1)^2.
Also, use brackets! "4x^2-1(2x + 1)^2" is hard to interpret !

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