Expand each pair of brackets. Write your answer in fully simplified form.
(a)Expand (x + 2)(x + 7).(1)
(b)Expand (3x - 1)(x + 5).(1)
(c)Expand (x - 4)(x - 3).(1)
(d)Expand (2x + 5)(x - 2).(1)
2
Expand (x + 1)(x + 2).
(1)
3
Expand (x + 4)(x - 1).
(1)
4
Expand and simplify: (x + 8)(x - 3).
(2)
5
Expand and simplify: (3x + 2)(3x - 2).
(2)
6
Square the binomial and simplify: (x + 9)2.
(2)
7
Expand and simplify: (2x - 5)2.
(2)
8
Expand and simplify: (x + 3)(2x + 7).
(2)
9
Expand and simplify: (x - 5)(4x + 1).
(2)
10
Expand and simplify: (3x - 2)(x - 6).
(2)
11
Expand and simplify: (x + 7)(x - 7).
(2)
12
Without expanding fully, state the coefficient of x2 in the expansion of (4x + 3)(2x - 5).
(1)
13
Expand (x - 2)(x - 3).
(1)
14
Expand and simplify: (x - 1)2.
(1)
15
Expand and simplify: (x + 3)(x2 + 2x + 4). Note: multiply a binomial by a trinomial.
(3)
16
Expand and simplify: (3x - 1)(x2 + 3x - 2).
(3)
17
Expand and simplify then collect like terms: (x + 5)(x - 4) + (x - 2)(x + 6).
(3)
18
A rectangle has length (x + 6) m and width (3x - 1) m. Expand and simplify an expression for its area, in m2.
(3)
19
A student expands (x + 5)(x + k) and obtains x2 + (k + 5)x + 5k. The student claims the coefficient of x is 13. Find k if the claim is correct, then state the constant term.
(3)
Mark scheme · KS3.M-A13D Expanding Double Brackets: Fluency and Exam Drill