Algebraic Structures: Factorisation, Quadratic Modeling, Simultaneous Systems, and Physical Graphs

factorising or solving equations

Factorise:

6x+12y

6(x+2y)

Factorise:

15x squared + 5x -10

5 (3x squared+x -2)

factorise:

5ab+15ac+10ad

5a(b+3c+2d)

Factorise:

11y+22-wy-wz

11(y+2) - w(y-z)

factorise:

x squared - 9

(x+9)(x-9)

factorise:

x squared +9x +20

(x+5)(x+4)

factorise;

3x squared - 19x +6

(3x - 6) (x - 1)

factorise and simplify:

10x + 2 / 2

5x +1 (Method is to factorise the top then to simplify so that 10x + 2 because 2(5x + 1) ALWAYS FACTORISE FIRST)

the sum of two number is 18 and the product of them are 56. what are the numbers

14 and 4

graph:

Y = x squared