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Which function is equivalent to f(x)=4x2−12x+9?

Question 6 options:

(4x−3)(x−3)

(4x+3)(x+3)

(2x+3)2

(2x−3)2

Sagot :

Mhanifaidn

Answer:

  • D. f(x) = (2x - 3)²

Step-by-step explanation:

Given function:

  • f(x) = 4x² - 12x + 9

Use identity:

  • (a ± b)² = a² ± 2ab + b²

We can see:

  • a = 2x and b = 3

Apply:

  • f(x) = (2x - 3)²

Correct choice is D

[tex]\\ \tt\hookrightarrow f(x)=4x^2-12x+9[/tex]

  • Factorise

[tex]\\ \tt\hookrightarrow f(x)=2x^2-2(2x)(3)+3^2[/tex]

[tex]\\ \tt\hookrightarrow f(x)=(2x-3)^2[/tex]

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