Question

factorise 3(x square -5x) square -2(x square-5x+5)-6​

Answer 1

Answer:

$let \: {x}^{2} - 5x = y \\ so \: its \: rewritten \: as \\ = {3y}^{2} - 2(y + 5) - 6 \\ = {3y}^{2} - 2y - 10 - 6 \\ = {3y}^{2} - 2y - 16 \\ = {3y}^{2} - 8y + 6y - 16 \\ = y(3y - 8) + 2(3y - 8) \\ (3y - 8)(y + 2) \\ = (3 ({x}^{2} - 5x) - 8)( {x}^{2} - 5x + 2) \\ = (3 {x}^{2} - 15x - 8)( {x}^{2} - 5x + 2)$