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Factorise 3x^3y^2-6x^2y+9xy

look for a common factor. See that 3 divides 3, -6 and 9. Then see that x and y divide the equation also. so write 3xy(x2y-2x+3) and this is your answer.
 

AS
Answered by Amber S. • Maths tutor
4190 Views

The point P has coordinates (3, 4) The point Q has coordinates (a, b) A line perpendicular to PQ is given by the equation 3x + 2y = 7 Find an expression for b in terms of a.

Draw a diagramRearrange the given equation into the form y = mx + cy = -3/2x+7/2Gradients of perpendicular lines - m1*m2=-1, so gradient of PQ = 2/3PQ : y=mx+c -> 4=(2/3)*3+cc=2, therefore PQ: y=2/3x+2...

JW
Answered by Jack W. • Maths tutor
2918 Views

How do you solve a quadratic inequality?

  1. Treat it as a normal quadratic equation and solve by factorising: eg. x2 - 5x - 24 > 0 x2 - 5x - 24 = 0 (x + 3)(x - 8) = 0 x = -3 or x = 82) Sketch the curve, showing the po...
AA
Answered by Abeda A. • Maths tutor
3589 Views

Tim flies on a plane from London to Tokyo. The plane flies a distance of 9000 km. The flight time is 11 hours 15 minutes. Work out the average speed of the plane in kilometres per hour.

Speed = Distance/TimeSpeed = 9000/11.25Speed = 800 km/h

NE
Answered by Nicholas E. • Maths tutor
3957 Views

A curve has equation y = (x-1)e^(-3x). The curve has a stationary point M. Show that the x-coordinate of M is 4/3.

(In the following answer, y' denotes dy/dx, i.e. the derivative of y with respect to x, where y is a function of

Answered by • Maths tutor
4382 Views

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