REVIEW

Distributive Law

100

Expand the following 

2(m +1)

2m + 2

200

Expand 

-4(5 + c)

-20 – 4c 

300

Expand the following 

-2(4a – 1)

-8a + 2

400

Simplify the following 

7(m − 3) − 2(m − 4)

7m − 21 − 2m + 8

5m - 13

500

Simplify 

(3n + 2)(n + 3)  

3n² + 9n +2n + 6 

3n² + 11n + 6

Binomials

100

(r + 1)( r − 3)

r² - 3r + r - 3 

r² - 2r - 3

200

Remove the brackets 

 (n − 1)(2n − 2)

2n² - 2n - 2n + 2 

2n² - 4n + 2 

300

Simplify 

(2x + 3)(2x − 3)

4x² - 6x + 6x - 9

4x² - 9

400

Factorize completely 

4x^{2 -} 9

(2x - 3)(2x+3)

500

(a + c)² – (a – c)²

a² + 2ac + c² - a² + 2ac - c²

4ac 

Polynomials

100

Factorize the following 

2x² + 7x + 6

2x² + 4x + 3x + 6 

2x(x + 2) + 3(x + 2)

(2x + 3) (x + 2)

200

15a²b² - 24ab

3ab (5ab - 8)

300

Factorize completely.

x² - 8x + 16

(x-4)²

400

25x² -20xy + 4y²

(5x - 2y)²

500

Factorize 

8x² - 22x + 15

[8x² - 12x] - [10x + 15]

4x(2x - 3) - 5(2x - 3)

 (4x - 5) (2x - 3)