Factorisation

Difference of Squares

100

a² - 49

(a+7)(a-7)

200

9x² - 64y²

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

300

63a² - 28b²

7(3a+2b)(3a-2b)

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

3 + 4x² - 8x

(2x - 1)(2x - 3)

400

x² - 6xy - 27y²

(x + 3y)(x - 9y)

500

28+13x-6x²

(7-2x)(4+3x)