1 Answer

Mauro Valvano · Answer 1 · 2022-12-15T05:04:23+0000

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$b = 9 {n}^(2) + 7$

a = 3n + 4

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${a}^(2) = ( {3n + 4})^(2)$

${a}^(2) = 9 {n}^(2) + 24n + 16$

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$b = 9 {n}^(2) + 7$

$b = 9 {n}^(2) + 24n - 24n + 7 + 9 - 9 \\$

$b = (9 {n}^(2) + 24n + 16) - 24n - 9 - 23 + 23 \\$

$b = (9 {n}^(2) + 24n + 16) - (24n + 32) + 23 \\$

$b = ({3n + 4})^(2) - 8(3n + 4) + 23$

$b = {a}^(2) - 8a + 23$

Thus the correct answer is ( B ) .

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