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guddo
If \((x + 3)^2 = y\), then in terms of y, \(x^2 + 6x + 17 =\)

A. y - 14
B. y - 8
C. y + 3
D. y + 8
E. y + 14

Attachment:
2024-01-29_02-18-48.png

A quick way to do this would be to expand the expression and see what y is equal to:

y is equal to \((x + 3)^2\) = \(x^2 + 6x + 9\)

If the only difference between \(x^2 + 6x + 9\) and \(x^2 + 6x + 17\) is 8, that's all we need to add to y

y + 8

(D) is your answer.
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guddo
If \((x + 3)^2 = y\), then in terms of y, \(x^2 + 6x + 17 =\)

A. y - 14
B. y - 8
C. y + 3
D. y + 8
E. y + 14

Attachment:
2024-01-29_02-18-48.png
Given:
\((x + 3)^2 = y\)
i.e. \(x^2 + 6x +9 = y\)

i.e. \(x^2 + 6x = y-9\)

Requirements:
\(x^2 + 6x + 17 =(y-9) +17 = y+8\)

Answer: Option D

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