Algebra - Factorizing Expressions

Difference of Two Squares

100

Factorise: x² – 4

(x + 2)(x – 2)

200

Factorise: x² – 196

(x + 14)(x – 14)

300

Factorise: 36x² – 49

(6x + 7)(6x – 7)

400

Factorise: 25m² – 64n² 

(5m + 8n)(5m – 8n)

500

Factorise fully: x⁴ – 16

(x² + 4)(x + 2)(x – 2)

Perfect Square Trinomials

100

Factorise: x² + 4x + 4

(x + 2)²

200

Factorise: 4x² + 12x + 9

 (2x + 3)²

300

Factorise: 9x² – 24x + 16

(3x – 4)²

400

Factorise: 16a² + 40a + 25 

(4a + 5)²

500

Factorise: 36x² – 60xy + 25y²

(6x – 5y)²

AC Method

100

Factorise:  x² + 5x + 6 

(x + 2)(x + 3)

200

Factorise: x² + 2x – 15 

(x + 5)(x – 3)

300

Factorise: 5x² – 13x + 6 

(5x – 3)(x – 2)

400

Factorise: 4x² – 4x – 15 

(2x + 3)(2x – 5)

500

Factorise: –6x² + x + 12

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