Question

(X²-5x)² -36 factorise

Answer 1

HeY mate here is ur ans.

(x^2-5x)^2-6^2

(x^2-5x-6)(x^2-5x+6)

[x^2+x-6x-6][x^2-3x-2x+6]

[x(x+1)-6(x+1)][x(x-3)-2(x-3)]

(x+1)(x-6)(x-3)(x-2)

pls mark me as brainlest

Answer 2

ANSWER


STEP BY STEP SOLUTION


${ \: ({x}^{2} - 5x) }^{2} - 36$





${ ({x}^{2} - 5x) }^{2} - {6}^{2}$




Applying formula




${a}^{2} - {b}^{2} = (a - b) \times (a + b)$





$( {x}^{2} - 5x - 6)( {x}^{2} - 5x + 6)$



$\: ( {x}^{2} - 3x - 2x + 6)( {x}^{2} - 6x + x - 6)$



$x(x - 3) - 2(x - 3) \: \: \: x(x - 6) + 1 \: (x - 6)$






$(x - 3)(x - 2)( x + 1)(x - 6)$