Expanding Brackets

Question 1

Expand 3(w-2)

Answer 1

3 w-6

Question 2

Expand 5(4y+1)

Answer 2

20y + 5

Question 3

Expand 2(6+2a)

Answer 3

12 + 4a

Question 4

Expand 9(2b+5)

Answer 4

18b + 45

Question 5

Expand 2(3d-2)

Answer 5

6d-4

Question 6

Expand -3(4a-2)

Answer 6

-12a + 6 (because 2 negatives make a + )

Question 7

Expand and simplify 2(a+6)+3(a+4)

Answer 7

2a+12+3a+12

5a+24

Question 8

Expand and simplify 3(w-2)-(3+w)

Answer 8

3w-6-6+2w

w-12

Question 9

Explain the break up the brackets method

Answer 9

(X+3) (X+9) = X(X+9) +3(X+9)
=X squared + 9x + 3x + 27
= X squared + 12x + 27

Question 10

Explain the foil method

Answer 10

(X+3) (X+9)
X x X = X squared
3 x 9 = 27
X x 9 = 9x
3 x X = 3x

=X squared + 27 + 9x + 3x

Question 11

Expand and factorise (X+3)(x+2)

Answer 11

= X (x+2) +3 (x+2)

= X squared + 2x + 3x + 6

Question 12

Expand 2(a+6)

Answer 12

2a + 12