Question

Factorise 2x square-24 x+72

Answer 1

2x^2-24x+72

=2x^2-12x-12x+72

=2x(x-6)-12(x-6)

=(2x-12)(x-6)

Answer 2

Answer:

$\red { 2x^{2} - 24x + 72} \green {= 2(x-6)(x-6) }$

Step-by-step explanation:

$2x^{2} - 24x + 72 \\= 2(x^{2} - 12x + 36 )\\= 2(x^{2} - 2\times x \times 6 + 6^{2} )\\= 2(x-6)^{2}$

$\boxed { \pink { a^{2} - 2ab + b^{2} = (a-b)^{2} }}$

$= 2(x-6)(x-6)$

Therefore.,

$\red { 2x^{2} - 24x + 72} \green {= 2(x-6)(x-6) }$

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