Question

express 4x^2-12x in the form (2x+a)^2+b

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

(2x + a)^2 + b

= (4x^2 + 4ax + a^2) + b

= 4x^2 + 4ax + a^2 + b

= 4x^2 - (-4a)x + (a^2 + b)

Now, 4x^2 - 12x = 4x^2 - (-4a)x + (a^2 + b), so we have:

12 = -4a --- (1)

0 = a^2 + b --- (2)

From (1), we will get:

a = 12 / -4

a = -3

Substituting a = -3 into (2), we will get:

0 = (-3)^2 + b

0 = 9 + b

b = -9

Hence, 4x^2 - 12x = (2x - 3)^2 - 9