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Lets take this as an example: Simplify 5a - (2a + 6) To 'simplify an equation' means to put it at its most basic form To make it easier for us, we can place a 1 infront of the bracket, so we know what we are...

Label the two equations. x 2 + 8x + y 2 = 84 (1) x - y = 10 (2) Rearrange (2) to get y = x - 10 and substitute for y in (1) to get x 2 + 8x + (x - 10) 2 = 84. Expanding and collecting like terms gives 2x 2 -...

Factorise the quadratic by finding two numbers that add to make -7 and multiply to make 10. (i.e. -2 and -5). So x^2 - 7x + 10 = (x - 2)(x - 5) </= 0. Sketch the quadratic to see where it is negative or z...

The binomial theorem is an algebraic formula for the expansion of powers of an expression with two terms (a binomial). For example, we can use it to calculate the polynomial expansion of, say, (1+x)^n for an...

Suppose we have two vectors U (a1,b1) and V (a2,b2). Hence, the distance between U and V will be given by the formula: d=sqrt((a1-b1) 2 + (a2-b2) 2 )