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If a = 3n+4 and b = 7+9n^2, what is b in terms of a?

A) a^2 + 8a + 23
B) a^2 - 8a + 23
C) 9a^2 - 108a + 144
D) 9a^2 - 108a + 148

2 Answers

7 votes

Answer: The answer is B

Explanation:

a = 3n + 4

a - 4 = 3n

a - 4 = n

3

b = 7 + 9n^2 = 7 + 9 __(a - 4) ^2___ = 7 + 9 _(a - 4) ^2_____

3^2 9

= 7 + (a - 4)^2 = 7 + a^2 - 8a + 16

= a^2 - 8a + 23

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