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To factorise you need to identify 'factors', which are common features, between the different terms in an equation. In 3a^2 - 9a, the first term is 3a^2 and the second term is -9a. One common feature betw...

Equation 1 : y = 2x -3 Equation 2: 2x +3y = 23To solve these equations you use a method called substitution The information from the 1st equation is used by the 2nd one Sub in the formula for y like so: 2...

First factorise the quadratic into the form (x + a)(x + b) = 0.This will make x^2 + ax + bx + ab = 0.Work out a and b so that a + b = 7 and ab = 10.a = 5 b = 25+2 = 7 52 = 10.

This is a linear sequence which we can see increasing by 4b with every consecutive term.

Given the values of the first 3 terms, we can see that the 4th and 5th terms must be a + 14b and a + 18b...

First of all we need to find the coordinates of the point D. As D is halfway between the two points A and B, to find the midpoint of a line segment, we add the x coordinates then divide by 2, and add the ...