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24. Woodworking A birdhouse has a square base with
side length 3x - 4. What polynomial in standard
form represents the area of the base?

Respuesta :

Answer:

9x² - 24x + 16

Step-by-step explanation:

Formula for the area of the square base = s²

Where,

s = side length = 3x - 4

Therefore:

Area of the base = (3x - 4)²

Expand

(3x - 4)(3x - 4)

3x(3x - 4) -4(3x - 4)

Apply the distributive property

9x² - 12x - 12x + 16

Add like terms

9x² - 24x + 16

Area of the base in standard form = 9x² - 24x + 16

Answer:

9x^2 -24x +16 units^2

Step-by-step explanation:

(3x-4)^2 = 9x^2 -24x +16

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