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Nadya [2.5K]
3 years ago
10

Expand and simplify (3x-2)^2

Mathematics
1 answer:
Mars2501 [29]3 years ago
7 0

Answer:

The answer is: 9x^2 - 12x + 4

Step-by-step explanation:

Perfect square formula: (a - b)^2 = a^2 - 2ab + b^2 ; a = 3x, b = 2

(3x)^2 - 2 * 3x * 2 + 2^2

Simplify:

9x^2 - 12x + 4

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Answer:

B

Step-by-step explanation:

A:

Completing the square:  (x+ 7/2)^2 = -2 + 49/4 = 41/4, in the next step you'll be square rooting a positive number so it'll have real roots.

B:

Completing the square:  (x+3/2)^2 = -9 + 9/4 = -27/4, you'll next be square rooting a negative number, so it'll have complex roots

C:

Completing the square:  (x-5/2)^2 = -1 + 25/4 = 21/4, next you'll square root a positive number, so real roots

D:

Completing the square: (x+7/2)^2 = 2 + 49/4 = 57/4, square root a positive number, so real roots.

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