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-3))simplyfy the top to get; (2x+6)/((x+3)(x-3))the numerator then can be expanded to give; (2(x+3))/((x+3)(x-3))The (x+3) cancels on top and bottom to give us the final answer; 2/(x-3)
EE
Related Maths A Level answers
All answers ▸A curve has equation y = 20x −x2 −2x3 . (A) Find the x-coordinates of the stationary points of the curve.
How can I get better at Mathematics? I am struggling with confidence and achieving low grades.
The line l1 has equation y = −2x + 3. The line l2 is perpendicular to l1 and passes through the point (5, 6). (a) Find an equation for l2 in the form ax + by + c = 0, where a, b and c are integers.
A line L is parallel to y=4x+5 and passes through the point (-1, 6). Find the equation of the line L in the form y=ax+b . Find also the coordinates of its intersections with the axes.