Search over 10,000 free study notes

For the most part, this comes down to practice. The insight in seeing which identity gives you the most efficient path to the solution comes with experience, however a little trick I like to use (silly as...

NB.: Treat all log as log2 for purpose of formatting log(x) - log(z) = log(x/z) alog(b) = log(b^a) log((11y - 3)/3) - log(y^2) = 1 log((11y - 3)/3y^2) = 1 11y - 3 / 3y^2 = 2^1 11y - 3 = 6y^2 6y^2 - 11y + ...

When you add and subtract surds, the numbers inside the square root must be the same. You add/ subtract the number outside the square root. e.g. 2√5 + 7√5 = 9√5, however 2√5 + 7√3 cannot be added. when yo...

4cm*6cm = 24cm² (End face) 24cm²*12cm = 288cm³ (Volume of one cuboid) 288cm³*2 = 576cm³ (Volume of two cuboids)

x²+y²=25, y-2x= 5 y = 5+2x  -----> y² = (5+2x)² = 25 + 20x +4x² x² + 4x² + 20x + 25 = 25 5x² + 20 x = 0 x = 0 y =...