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Pythagoras theorem works to find out an unknown side length of a right angles triangle (RAT) knowing the other two lengths. A RAT has 3 sides called a hypotenuse (longest side), and two smaller sides. We ...

Firstly, you must factorise the quadratic equation on the numerator of the fraction. Observe that the x^2 has a coefficient of 2 and the term with no x terms is 3. 3 can only be factorised by 1 and 3. Als...

The answer should be 2x³ + 11x² +13x - 5

Remeber to multipy both brackets together, and collect like terms.  (Watch out for the minus sign) 

The expression (2x+5) has the same value as y, and so we can use (2x+5) instead of y in the second equation. This means that we are now just dealing with one variable (x) instead of two (x and y). If we m...

a² = 3² = 9, b² = 4² = 16, a² + b² = 3² + 4² = 25, c² = 25, c = 5