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Maths
GCSE

Expand and simplify (x+5)(x+7)

Front - Outer -Inner -Last (FOIL)
x X x = x^2x X 7 = 7x 5 X x = 5x5 X 7 = 35
7x + 5x = 12x
x^2 + 12x + 35

Answered by Ellie M. Maths tutor
10762 Views

Solve simultaneous equations: 3x + y = 12 and 5x + 5y = 30

Make y the subject of equation 1 by subtracting 3x from both sidesy = 12 - 3x
Substitute 12 - 3x for y in equation 25x + 5(12 - 3x) = 305x + 512 - 53x = 305x + 60 -15x = 3060 - 10x = 30 ...

Answered by Tutor162883 D. Maths tutor
3371 Views

x^2 - 5x - 12 = 2, solve for x

RHS should always be 0 so start by taking that across.Now we want two numbers, they need to add up to make - 5 and multiply to make -14.Solve for this and we get -7 and +2.Use this information to factoris...

Answered by Pratinav S. Maths tutor
3067 Views

5 tins of soup have a total weight of 1750 grams. 4 tins of soup and 3 packets of soup have a total weight of 1490 grams. Work out the total weight of 3 tins of soup and 2 packets of soup.

Let tins be represented by XLet packets be represented by Y
5X= 1750X=350
4X+3Y=14904(350)+3Y=14901400+3Y=14903Y=90Y=30
3X+2Y= (3x350) + (2x30)= 1050+ 60= 1110

Answered by Joe C. Maths tutor
2363 Views

A-level - How to differentiate e^x where x is more complicated?

For exampe: e4x^3
The way to look at this is, the differential of e4x^3 = the ...

Answered by Jake C. Maths tutor
2754 Views

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