Question

factorise the expression and divide: 15xy(x^2-4x-12)÷5y(x+2)
pls answer this with proper steps​

Answer 1

Step-by-step explanation:

$15xy( {x}^{2} - 4x - 12) \\ \\ {x}^{2} - 4x - 12 \: \: factorise \: this \\ \\ {x}^{2} - 4x - 12 \\ \\ = {x}^{2} - (6 - 2)x - 12 \\ \\ = {x}^{2} - 6x + 2x - 12 \\ \\ = x(x - 6) + 2(x - 6) \\ \\ = (x - 6)(x + 2) \\ \\ \frac{15xy( {x}^{2} - 4x - 12)}{5y(x + 2)} \\ \\ = \frac{15xy(x - 6)(x + 2)}{5y(x + 2)} \\ \\ = 3x(x - 6)$