Expanding double brackets

The Maths Habit Handout to print

Work out 12 × 13
without a calculator.
How many ways can you find?

156

Work out

  1. x × x

    x2

  2. 5 × x

    5x

  3. −7 × x

    −7x

  4. −3 × −4

    12

Expand
Multiply out the brackets.
Simplify
Collect the like terms.

(x + 2)(x + 4)

×x+4
x
+2

Expand and simplify

(x + 3)(x + 4)

×x+4
xx24x
+33x12

x2 + 7x + 12

Expand and simplify

(x + 2)(x + 9)

×x+9
x
+2

x2 + 11x + 18

(x + 6)(x − 2)

×x−2
x
+6

(x − 3)(x − 4)

×x−4
x
−3

Expand and simplify

(x + 3)(x + 4)

×x+4
x
+3

x2 + 7x + 12

Expand and simplify

(x + 8)(x − 3)

×x−3
x
+8

x2 + 5x − 24

Expand and simplify

(x + 3)(x + 4)

×x+4
x
+3

x2 + 7x + 12

Expand and simplify

(x − 5)(x − 2)

×x−2
x
−5

x2 − 7x + 10

Expand and simplify

(x + 3)(x + 4)

×x+4
x
+3

x2 + 7x + 12

Expand and simplify

(x − 7)(x + 2)

×x+2
x
−7

x2 − 5x − 14

Expand and simplify

(x + 3)(x + 4)

×x+4
x
+3

x2 + 7x + 12

Expand and simplify

(x + 9)(x − 9)

×x−9
x
+9

x2 − 81

Expanding double brackets worksheet, page 1

Expanding double brackets worksheet, page 2

Answer sheet

  1. Expand and simplify (x + 4)2

    x2 + 8x + 16

  2. A rectangle is x + 6 long and x + 1 wide. A square has sides of x + 2. How much bigger is the area of the rectangle?

    3x + 2

  1. Expand and simplify (x + 3)(x + 5)

    x2 + 8x + 15

  2. Expand and simplify (x + 7)(x − 4)

    x2 + 3x − 28

  3. Isla says (x − 6)2 = x2 + 36. Find the right answer.

    x2 − 12x + 36
Exit tickets to print