7.05 Expanding and Simplifying ☆

Expanding a Single Bracket

100

2x + 3 - y

Is this a binomial?

No.

200

5 x (1y + 2)

Rewrite this expression using correct algebraic notation.

5 (y + 2)

300

Expand 7(x - 2 + 5y)

7x - 14 + 35y

400

Expand -9(21 - 14p)

-189 + 126p

500

-12r(3r - 15s + 8t)

-36r² + 180s - 96t

Expand and Simplify

100

6(3x + 2) + 8

18x + 20

200

n(n² - 3) + 4n

n³ + n

300

2(3y + 1) + 2(7 + 2y)

10y + 16

400

 5(5y - 6) - 2(5y + 9)

15y - 48

500

3x(y + 4) + 2x(13x + 2y)

x² + 7xy + 12x

Factorising Expressions

100

List the factors of 48.

1, 2, 3, 4, 6, 12, 16, 24, 48

200

List the factors of  15x²y.

1,3,5,15,x,x²,y

300

Factorise 18a - 16

2(9a + 2)

400

Factorise 45b + 30a

15(3b + 2a)

500

Factorise 18b - 48 - 15c

3(6b - 16 - 5c)