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Expand and Simplify: (x+2)(x+3)(x−3)

(x+2)(x+3)(x−3)(x²+ 3x + 2x + 6)(x - 3) : Step 1 is to expand the first two brackets. (x²+ 5x + 6)(x - 3) : Step two is to simplify the quadratic. x³-3x²+5x

Answered by Alex H. • Maths tutor

9156 Views

Let n be an integer greater than 1. Prove that n^2 - 2 - (n-2)^2 is an even number.

To show a number N is even, we must be able to express it in the form N = 2x for some other whole number x. Let's try to manipulate the given expression to see if we can put it in this form. By expanding ...

Answered by Sam L. • Maths tutor

17497 Views

The equation of line A is y = 6x -4. The equation of line B is 2y - 12x + 14 = 0. Are these two lines parallel?

Line A has a gradient of 6, because it is in the form y = mx + c, where m=6.
Line B can be rearranged to y= 6x - 7, so the gradient is also 6.
The gradient of both lines is the same, so they are...

Answered by Matthew L. • Maths tutor

3328 Views

Find, using calculus, the x coordinate of the turning point of the curve with equation y=e^3x cos 4

1st step: find the derivative dy/dx of the given equation2nd step: now equate the obtained derivative to 0 because this is precisely the situation in which the graph changes direction (the derivative dy/d...

Answered by Urszula W. • Maths tutor

4135 Views