Factories the following

6x² – 54

In given expression

Take out the common factor,

[2 × 3 × x × x-2 × 3 × 3 × 3]

⇒ 2 × 3[x × x-3 × 3]

⇒ 6[x²-9]

Both terms are perfect square

⇒ x² = x × x

⇒ 9 = 3 × 3

∴ x²– 9 Seems to be in identity a²-b² = (a + b)(a-b)

Where a = x and b = 3;

x²– 9 = (x-3)(x + 3)

Hence the factors of 6x² – 54 are 6,(x-3) and (x + 3)