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Proper, Improper and Mixed Fractions

Fractional Arithmetic

Changing the Subject of an Expression

Multiplying Expressions

Ex. 0:
(-16 x + 3) ( 17 x + 19)
=
-272 x2 + -253 x + 57
Ex. 1:
(15 x + 5) ( 14 x + 15)
=
210 x2 + 295 x + 75
Ex. 2:
(0 x + 13) ( -5 x + -13)
=
0 x2 + -65 x + -169
Ex. 3:
(4 x + -17) ( -14 x + -11)
=
-56 x2 + 194 x + 187
Ex. 4:
(7 x + -7) ( -7 x + 14)
=
-49 x2 + 147 x + -98
Ex. 5:
(16 x + 7) ( -11 x + 0)
=
-176 x2 + -77 x + 0
Ex. 6:
(7 x + -2) ( -1 x + 4)
=
-7 x2 + 30 x + -8
Ex. 7:
(8 x + 16) ( 7 x + 12)
=
56 x2 + 208 x + 192
Ex. 8:
(0 x + 5) ( 12 x + -5)
=
0 x2 + 60 x + -25
Ex. 9:
(-10 x + 6) ( -9 x + 10)
=
90 x2 + -154 x + 60

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