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16 = (x-3)(x+3) --> 16 = x^2+3x-3x-9 --> 16 = x^2-9 --> x^2=25 --> x = +5 or -5

First of all expand the brackets and simplify the expression given:(4n+1)(4n+1)-(2n-1)= 8n²+8n+1-2n+1= 8n²+6n+2= 2(4n²+3n+1). Since the expression can be factorised with 2...

While I doubt students will ask this exact question, think it provides the basis for what are usually the most difficult questions in GCSE papers, and students would usually be unsure where to start. My i...

(Suppose the coordinates of the point on the circle is (2, 3))To calculate the tangents equation we will first work out it's gradient. The tangent to a circle at a point is perpendicular to the radius of ...

Note that 1/4 as a decimal is 0.25, half of this is 1/8 which is 0.125.Multplying this by 5: we get 0.625