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Express (4x)/(x^2-9) - (2)/(x+3) as a single fraction in its simplest form.

First we must expand the demoninator to; (x+3)(x-3)Then we can multiply the left hand fraction on top and bottom by (x-3) to get a common demoninatorthis gives us; (4x)/((x+3)(x-3)) - ((2)(x-3))/((x+3)(x-...

Answered by Eddie E. Maths tutor
3529 Views

Solve 4(x-5)=18

There are 2 ways to solve this equation:Method 1:Expand the brackets by multiplying everything inside the brackets by 4 to make 4x-20=18Then +20 to both sides making 4x=38Then divide by 4 to find x, there...

Answered by Jessica S. Maths tutor
17365 Views

Find the coordinate of the stationary point on the curve y = 2x^2 + 4x - 5.

The important point in the question is the term 'stationary point'. This is where the graph of y will 'flattern out'. If we look at this graph, we can say that the gradient is equal to 0 at this point. Th...

Answered by Serkan M. Maths tutor
4339 Views

write (x+2)(x+3)(x+5) in the form ax^3+bx^2+cx+d

First take (x+2)(x+3) and expand to get x2 +3x+2x+6, which can be simplified to equal x2+5x+6.Then mutiple x2+5x+6 by (x+5). This will give you x3+5x2

Answered by Cora H. Maths tutor
2904 Views

Using the identity cos(A+B)= cosAcosB-sinAsinB, prove that cos2A=1-2sin^2A.

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