Algebra - Expanding brackets; simplifying and factorising

HCF

100

What is the HCF of 32 and 40?

8

200

What is the HCF of 48 and 96?

24

300

What is the HCF of -27 and -54?

-9

400

What is the HCF of 75x and 60x²

15x

500

What is the HCF of xyz² and x²z and y²z

z

Factorise

100

factorise. x²+3x

x(x+3)

200

factorise. 25x+30

5(5x+6)

300

factorise. 24x-16

8(x-2)

400

18x²+90x+27x³

9x(18x+10+3x²)

500

4x²+8x+16

4(x²+2x+4)

Expand and Simplify

100

5x(x - 1)

5x² - 5x

200

-n(n - 9)

-n² + 9n

300

3(x+4)+10-2x

x+14

400

3xy(2 - y) - (4x + 8)

6xy - 3xy² - 4x - 8

500

 s(2r - 3s) + 2r(3r - 2s)

3s²+ 6r² - 2rs