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Maths
GCSE

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

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Answered by Alex H. Maths tutor
8445 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 ...

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Answered by Sam L. Maths tutor
16885 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...

ML
Answered by Matthew L. Maths tutor
2973 Views

Express x^2 +10x -3 in the form (x + p)^2 + q


x2 +10x-3=(x+5)2-25-3= (x+5)2 -28

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Answered by Carmen T. Maths tutor
6364 Views

3/5 of a number is 162. Work out the number.

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