Sec 2 Algebra

Expand

200

[60 sec] Expand

(3k+2)(3k-2)

9k²-4

300

[60 sec]Expand 

x²-(x+y)(x-y)

y²

400

[2 min] Expand 

(2𝑥 + 3)(𝑥 + 4) + (𝑥 + 2)(3 − 𝑥)

𝑥² + 12𝑥 + 18

500

[3 min] Expand

(2𝑥 − 1)(𝑥 − 4) − 2(3 − 𝑥)(𝑥 − 3)

4𝑥² − 21𝑥 + 22

Factorise

100

[60 sec] Factorise

𝑎² + 𝑎 − 6

(𝑥 + 3)(𝑥 − 2)

200

[60 sec] Factorise

2𝑥² − 3𝑥𝑦 − 2𝑦²

(2𝑥 + 𝑦)(𝑥 − 2𝑦)

300

[1 min 20 sec] Factorise 

𝑎𝑏 + 2𝑎 + 3𝑏 + 6

(𝑎 + 3)(𝑏 + 2)

400

[1 min 30 sec] Factorise 

𝑎²+ 2𝑎𝑏 + 𝑏² + 𝑎 + 𝑏

(𝑎 + 𝑏)(𝑎 + 𝑏 + 1)

500

[3 min]Factorise 

5(y+2)² - 4 (y+2) - 1 

Hint: Factorise 5x² - 4x - 1 first. 

(y+1)(5y+11)

Simplify

100

[30 sec] Simplify 

2x² + 3x + 4x² - x

6x² + 2x

200

[40 sec] Simplify

(5x³ - 2x² + x) - (2x³ + x² - 3x)

3x³ - 3x² + 4x

300

[40 sec] Simplify 

(8x+12y) / 12xy

(2x+3y) / 3xy 

400

[2 min] Simplify 

(x² + 2x + 1) / (x + 1)

(x+1)

500

[3 min] Simplify 

(x²-y²) / (4x²+4xy +3x +3y) 

(x-y)/ (4x+3)