Search over 10,000 free study notes

To solve this equation, we need to collect all of the x^2 terms and the x terms together. To do this we should start by getting rid of the fraction on the left-hand side by multiplying both sides by the d...

Multiply whole equation by x-4 and then 2x+1 (would do this one step at a time but must conserve space here):

(2x+3)(2x+1)-(2x-8)(x-4)=(x-4)(2x+1)

Expand brackets:

(4x^2+8x+3)-(2x^2-1...

Rearrange the equation so x^2 - 7x -18 = 0, then simplify into (x-9)(x+2)=0 -> x=9 or x=-2

sin2x = 2sinxcosx cos2x = cos^2(x) - sin^2(x) tan2x = (2tanx)/(1-tan^2(x))

Start by expanding the brackets. This means that you must multiply everything inside the bracket by whatever is outside the bracket. Therefore, you should be left with: 6yx - 16y + 2x^2 + xy After this, ...