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Maths
GCSE

Show that (x + 1)(x + 2)(x + 3) can be written in the form ax3 + bx2 + cx + d where a, b, c and d are positive integers.

(x+1)(x+2) = ( x^2 + 3x + 2) - multiplying out the first 2 terms(x^2 + 3x + 2)(x + 3) = x^3 + 3x^2 + 2x + 3x^2 + 9x + 6 - multiplying the product of the first two terms by the last termx^3 + 6x^2 + 11x + ...

RK
Answered by Rachel K. Maths tutor
6356 Views

Find the values of x where x^(2) + 4x + 4 = 0

To solve this question we need to find the values of x which work for the equation x^(2) + 4x + 4 = 0. To solve the equation we can factorise the left-hand side into brackets which will m...

BA
Answered by Ben A. Maths tutor
7197 Views

Solve the simultaneous equations (1) 2x+3y=3 and (2) 3x+2y=7

Remember we can multiply both sides of an equation by the same thing without changing the meaning of the equation. Multiplying equation 1 by 2 gives 4x+6y=6 and multiplying equation 2 by 3 gives 9x+6y=21 ...

ZL
Answered by Zoe L. Maths tutor
5266 Views

FIRSTLY: John has a slice of pizza in the exact shape of an isosceles triangle. 2 sides measure Y + 5 and 1 side measures Y – 2. Write an expression for the total perimeter. SECONDLY: Multiply out the following brackets: (3Y + 8)(3Y + 2)

First part: An isosceles triangle has 2 sides of the same length and 1 side of a different length. 2 of these sides: 2 x (Y + 5) = 2Y + 10. 1 side: Y – 2. The perimeter is the tota...

RW
Answered by Rosie W. Maths tutor
3081 Views

A ladder 6·8m long is leaning against a wall, as shown in the diagram. The foot of the ladder is 1·5m from the wall. Calculate the distance the ladder reaches up the wall. Give your answer to a sensible degree of accuracy.

There's a lot of information here so we should start out by drawing up a diagram. From this we can see that we have a right-angled triangle, and we know two of the angles and want to work out a third. The...

RS
Answered by Rohan S. Maths tutor
4009 Views

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