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Solution 2.1:7a

From Förberedande kurs i matematik 1

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If we multiply the top and bottom of the first fraction by x+5 and the second by x+3, then they will both have the same denominator and we can work out the expression by subtracting the numerators

2x+32x+5=2x+3x+5x+52x+5x+3x+3=(x+3)(x+5)2(x+5)2(x+3)=(x+3)(x+5)2x+102x6=4(x+3)(x+5).