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

4x/(x²-9)-2/(x+3) = 4x/((x+3)(x-3))-2/(x+3) = 4x/((x+3)(x-3))-2(x-3)/((x+3)(x-3)) = (4x-2(x-3))/((x+3)(x-3)) = (2x+6)/((x+3)(x-3) = (2(x+3))/((x+3)(x-3)) = 2/(x-3)

Answered by Charles S. • Maths tutor

8311 Views

Find the equation of the normal to the curve y=2x^3 at the point on the curve where x=2. Write in the form of ax+by=c.

For x = 2, y = 16. Calculate the gradient of the curve at y = 2, dy/dx = 6x^2, dy/dx = 24. This is also the gradient of the tangent to the curve at x = 2. It is a rule that the products of the gradients o...

Answered by Maddy L. • Maths tutor

8506 Views

Who was the most effective constitutional nationalist leader in Ireland (1800-1914)?

IntroFirstly, think about what it means to be an 'effective' leader. Some criteria could be electoral support, influencing decisions in Westminster, and achieving legislation. Note that these criteria are...

Answered by Ticiana A. • History tutor

4163 Views

What type of cell passes on mutation from generation to generation?

Germ line cells is the correct answer.This type of question is separating the function of somatic and germ line cells.The somatic cells is found through out the body as it maintains the cell number in the...

Answered by Duaa M. • Human Biology tutor

2664 Views

Given that y=π/6 at x=0 solve the differential equation,dy/dx=(e^x)cosec2ycosecy

This question challenges a students skills with integration and trigonometry a very common question on Core 4 papers that can leave students struggling. First we use our knowledge that cosecy=1/siny and m...

Answered by Oliver L. • Maths tutor

12185 Views