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Expand and Simplify: 2y(3x - 8) + x(2x + y)

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, ...

JB
Answered by Jasmine B. Maths tutor
4079 Views

Find the coordinates of the point of intersection of the lines y = 5x - 2 and x + 3y = 8.

  1. substitute y=5x-2 into second equation --> x + 3(5x- 2)= 8// 2) factorise and simplify to get 16x=14 3) divide 14 by 16 to calculate the value of x to be 7/8 4) sub value of x into equation 1 to...
AT
Answered by Anand T. Maths tutor
5956 Views

Find the volume and surface area of a cylinder, of length 20cm and radius 5cm.

A diagram is often helpful to draw for questions like this. 1.) Volume. For the volume of a cylinder, you must first find the area of the face, and multiply by the length. The formula for this is Vol= πr^...

CL
Answered by Cameron L. Maths tutor
9193 Views

Find dy/dx of the equation y=x^2 ln⁡(2x^2+1).

This question requires the use of two key rules of differentiating. The first of these is the product rule. The product rule describes a way of differentiating an equation which is the product of two diff...

CL
Answered by Cameron L. Maths tutor
4790 Views

How can you calculate the distance between 2 points in a grid if they're not on the same horizontal or vertical line?

Recall Pythagoras' theorem. a^2 + b^2 = c^2. Think about this as a triangle, with a and b being the lengths of the 2 perpendicular sides, and c being the length of the hypotenuse. [Drawing on a whiteboard...

TC
Answered by Tom C. Maths tutor
4370 Views

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