Factorizing Algebraic Expression

Taking out HCF

100

25a - 15

5(5a - 3)

200

7ab−28ab²

7ab(1-4b)

300

2(a+3)+a(a+3)

(a +3)(2+a)

400

6ab−10a²b+8ab²

2ab(3-5a+4b)

500

−12x²−16x

-4x(3x +4)

Perfect Squares

100

x² - 81

(x + 9) (x - 9)

200

25x² - y²

(5x + y) (5x - y)

300

2a²−50

2(a+5)(a-5)

400

(h+3)² -64

(h + 11)(h - 5)

500

63−7a²b²

7(3+ab)(3-ab)

By Grouping

100

x²+3x+2x+6

(x+3)(x+2)

200

a²+5a−4a−20

(a+5)(a-4)

300

x²−3x−3xc+9c

(x-3)(x-3c)

400

5rs−10r+st−2t

(5r + t)(s - 2)

500

2ab−a²−2bc+ac

(2b - a)(a-c)

By Rearranging

100

5x+2x+x²+10

(x + 5)(x + 2)

200

6m−n+3mn−2

(3m - 1)(2+n)

300

2x²−9−6x+3x

(2x+3)(x−3)

400

3x−8x−6x²+4

(3x+4)(1−2x)

500

x²+10x+24

(x+4)(x+6)

Extras

100

Expand 

(3x−b)(c−b)

3xc - bc - 3bx + b²

200

x²y−4xy+xy² 

xy(x-4+y)

300

(x−7)²−1

(x-6)(x-8)

400

16a²−49

(4a + 7) (4a - 7)

500

12x²y²  −12

12 (xy+1)(xy - 1)