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An even number is any number that can be divided by two to give a whole number. If we define "n" as "any whole number", we can say that "2n" is an even number. Odd numbers ca...

Start by expanding the brackets: (Take special care to remember the minus sign when expanding the second bracket as this is a common mistake)= 62x + 63 - 3x - x(1/x)Simplify further:= 12...

By Pythagoras' Theorem, we know 5²+12² = c². So c² = 169, thus c = +13 as lengths are positive.

To solve the first inequality, you need to subtract 6 from both sides of the inequality, to obtain 4n≤12. This can then be cancelled down to n≤3 by dividing both sides by 4. To solve the second inequality...

We know from our rule of indices that raising a power to a power can be simplified by multiplying so (5³)³ = 5⁹ we also know that when dividing indices we can use the subt...