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Proper, Improper and Mixed Fractions

Fractional Arithmetic

Changing the Subject of an Expression

Multiplying Expressions

Ex. 0:
(-12 x + -15) ( 17 x + 2)
=
-204 x2 + -279 x + -30
Ex. 1:
(16 x + 3) ( 6 x + 16)
=
96 x2 + 274 x + 48
Ex. 2:
(18 x + 4) ( 18 x + 3)
=
324 x2 + 126 x + 12
Ex. 3:
(7 x + -4) ( 17 x + 15)
=
119 x2 + 37 x + -60
Ex. 4:
(-3 x + -4) ( 3 x + 14)
=
-9 x2 + -54 x + -56
Ex. 5:
(-5 x + 11) ( -3 x + -7)
=
15 x2 + 2 x + -77
Ex. 6:
(-19 x + -4) ( -8 x + 13)
=
152 x2 + -215 x + -52
Ex. 7:
(-8 x + -10) ( -17 x + 0)
=
136 x2 + 170 x + 0
Ex. 8:
(-6 x + 19) ( -18 x + -9)
=
108 x2 + -288 x + -171
Ex. 9:
(3 x + 7) ( -13 x + 1)
=
-39 x2 + -88 x + 7

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