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in this video we're going to look at how to simplify algebraic fractions so here we've got a numerical example 10 over 15. if i wanted to cancel this down i would divide both the top and the bottom by 5 because well 2 times 5 is 10 and 3 times 5 is 15 and if we divide both the top and the bottom by 5 then that would leave us with two thirds so to cancel down algebraic fraction what we're going to do is we're going to factorize the numerator and factorize the denominator if we can and then cancel down okay let's have a look at an example so here we've got x plus three over two x plus six well the top line the numerator has been uh we can't factorize that that's just x plus three okay so that's x plus 3. whereas the denominator you can see we've got 2x plus 6. that can be factorized we can take the 2 out so we're going to 2 bracket well that will leave you x plus 3. notice we've got x 3 on the numerator and x plus 3 in the denominator well x if we divide both the top line and the bottom

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