Expansion
Expand the brackets.
y(3 – y3)
3y – y4
Factorise completely.
2xy – 4yz
2y(x – 2z)
Solve the equation
1 + 2x = –15 .
–8
Write as a single fraction
3a/8 + 4/5
(15a + 32)/40
f(x) = 5 – 3x
Find f(6).
–13
Expand the brackets and simplify.
0.5(6x – 2) – 3(x – 1)
2
Factorise completely
ax + bx + ay + by.
(a+b)(x+y) or (x+y)(a+b)
Solve the equation
4x – 12 = 2(11 – 3x).
3.4 (oe)
Write as a single fraction in its simplest form.
2/x + 1/2x + 1/2
(x + 5)/2x
f(x) = 5 – 3x
Find f(x + 2).
–3x – 1
Expand and simplify
2(x – 3)2 – (2x – 3)2
9 – 2x2
Factorise completely.
p2x – 4q2x
x(p – 2q)(p + 2q)
Solve the equation
2x2 + 3x – 6 = 0.
(Give your answers correct to 2 decimal places.)
–2.64, 1.14
Write the following as a single fraction in its simplest form.
(x + 1)/(x + 5) – x/(x + 1)
(1 – 3x)/(x + 1)(x + 5)
f(x) = 5 – 3x
Find ff(x) in its simplest form.
9x – 10
Expand and simplify.
(x – 2)(x + 5)(2x – 1)
2x3 + 5x2 – 23x + 10
Factorise completely the expression
4x2 – 18x – 10.
2(2x + 1)(x – 5)
Solve the equation
7/(x+4) + (2x – 3)/2 = 1
–2.64, 1.14
Solve the equation
(2x + 3)/(x - 4) + (x + 40)/(x2 - 16) = 2
-7
f(x) = x2 + x - 1
g(x) = 1 - 2x
Find fg(x). Give your answer in its simplest form.
4x2 – 6x + 1