Question

Factorise:
15(m-2n)^2-8(m-2n)-1

Answer 1

Answer:

this is the answer

Step-by-step explanation:

take m-2n as y and substitute in the equation

so the equation will be

15y2-8y-1=0

and then use sum and product method

Answer 2

Step-by-step explanation:

$let \: (m - 2n) = x \\ 15 {x}^{2} - 8x - 1 \\ = 15 {x}^{2} - 5x - 3x - 1 \\ = 5x(3x - 1) - 1(3x + 1) \\ = (5x - 1)(3x - 1)(3x + 1) \\ now \: substitute \: the \: value \: of \: x = (m - 2n) \\ (5(m - 2n) - 1)(3(m - 2n) - 1)(3(m - 2n ) + 1) \\ = (5m - 10n - 1)(3m - 6n - 1)(3m - 6n + 1)$