Question

Please can you fully factorise these equasions?

36x cubed - 6x
12x cubed + 15x squared
And 8x - 10x squared

Answer 1

`1)\\ 36x^3-6x=6x(6x^2-1)=6x[( √(6) \cdot x)^2-1^2]=6x(x √(6) -1)(x √(6) +1)\\ \\2)\\12x^3+15x^2=3x^2(4x+3)\\ \\3)\\8x-10x^2=2x(4-5x)`

Answer 2

`36x^3-6x=6x(6x^2-1)=6x[(x\sqrt6)^2-1^2]=6x(x\sqrt6-1)(x\sqrt6+1)\\\\12x^3+15x^2=3x^2(4x+5)\\\\8x-10x^2=2x(4-5x)`