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Proper, Improper and Mixed Fractions

Fractional Arithmetic

Changing the Subject of an Expression

Multiplying Expressions

Ex. 0:
(-4 x + -2) ( -8 x + 17)
=
32 x2 + -52 x + -34
Ex. 1:
(10 x + 3) ( -2 x + 11)
=
-20 x2 + 104 x + 33
Ex. 2:
(16 x + -12) ( 1 x + 5)
=
16 x2 + 68 x + -60
Ex. 3:
(17 x + 13) ( -13 x + 10)
=
-221 x2 + 1 x + 130
Ex. 4:
(15 x + 12) ( 8 x + -15)
=
120 x2 + -129 x + -180
Ex. 5:
(5 x + -12) ( 2 x + 18)
=
10 x2 + 66 x + -216
Ex. 6:
(-19 x + 6) ( -13 x + -3)
=
247 x2 + -21 x + -18
Ex. 7:
(15 x + 14) ( 8 x + -8)
=
120 x2 + -8 x + -112
Ex. 8:
(-7 x + -19) ( -11 x + -16)
=
77 x2 + 321 x + 304
Ex. 9:
(3 x + 7) ( 15 x + 0)
=
45 x2 + 105 x + 0

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

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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