Factorisation

Difference of Squares

100

a² - 49

(a+7)(a-7)

200

9x² - 64y²

(3x+8y)(3x-8y)

300

2x² - 32

2 (x - 4) (x + 4)

400

(5+a)² - 4

(a+7)(a+3)

500

(2 + 3x)² - (1 - x)²

(1 + 4x)(3 + 2x)

Perfect Square Trinomials

100

a²- 24a +144

(a-12)²

200

100a² +220ab + 121b²

(10a + 11b)²

300

-25p² + 10p -1

- (5p - 1)²

400

x³ + 2x²y + xy²

x(x+y)²

500

(x+2)² + 10(x+2) + 25

(x+7)²

Quadratic Polynomials

100

x² + 9x + 18

(x+3)(x+6)

200

x²  - 14x - 32

(x-16)(x+2)

300

2x² + 14x +20

2 (x+2) (x+5)

400

x² - x -6/x+2

x-3

500

x²-15x+56/5(x-8)

(x-7)/5

Surprise

100

5x-25

5(x-5)

200

x(5x+3) + x(4x+2)

9x² + 5x

300

8x(2x² + 5x -6)

16x³ + 40x² -48x

400

a² - b²

(a +b) (a-b)

500

x² + 7x + 10

(x + 2) (x + 5)