Question

Descompuneti in factori: (x-6)^{2} -9 x^{2}

Answer 1

a²-b²=(a-b)(a+b)

(x-6-3x)(x-6+3x)=(-2x-6)(4x-6)=-2(x+3)*2(2x-3)=-4(x+3)(2x-3)

Answer 2

$(x-6)^{2} -9 x^{2} = \\ = (x-6)^{2} - (3x)^{2} = \\ =(x-6-3x)*(x-6+3x)= \\ =(-2x-6)(4x-6)= \\ =-2*(x+3)*2*(2x-3)= \\ =-4*(x+3)*(2x-3)$