# Welcome to Physics and Maths.co.uk

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## Physics and Maths Tuition and coaching for all - from GCSE through A-Level to Degree

## Now also coaching in GCSE/A-level Computer Science

### Proper, Improper and Mixed Fractions

### Fractional Arithmetic

### Changing the Subject of an Expression

### Multiplying Expressions

### Factorising Quadratic Expressions

### Solving Linear Equations

### Rationalising the Denominator

### Solving Simultaneous (Linear) Equations

### Solving Simultaneous Quadratic Equations

### 2 and 3 Part Ratios

### Completing the Square

Ex. 0:

-4 x

^{2}+ 12 x + -18 => -4 (x

+

3

-2

)

^{2}+

9

-1

Ex. 1:

3 x

^{2}+ -3 x + -12 => 3 (x

+

-1

2

)

^{2}+

-51

4

Ex. 2:

-12 x

^{2}+ -19 x + 4 => -12 (x

+

-19

-24

)

^{2}+

-553

-48

Ex. 3:

-10 x

^{2}+ 13 x + -13 => -10 (x

+

13

-20

)

^{2}+

351

-40

Ex. 4:

13 x

^{2}+ 5 x + 1 => 13 (x

+

5

26

)

^{2}+

27

52

Ex. 5:

-17 x

^{2}+ -7 x + -6 => -17 (x

+

-7

-34

)

^{2}+

359

-68

Ex. 6:

-2 x

^{2}+ -15 x + -14 => -2 (x

+

-15

-4

)

^{2}+

-113

-8

Ex. 7:

-8 x

^{2}+ -13 x + -18 => -8 (x

+

-13

-16

)

^{2}+

407

-32

Ex. 8:

11 x

^{2}+ -9 x + -17 => 11 (x

+

-9

22

)

^{2}+

-829

44

Ex. 9:

-17 x

^{2}+ -18 x + -1 => -17 (x

+

-9

-17

)

^{2}+

-64

-17

### Sequences and Series

### Polynomial Long Division

### Factor and Remainder Theorem

### Roots of a cubic

### Differentials

### Finding Turning Points

### Pythagorus

### Sine and Cosine Rules

### Vectors

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