Question

I need help, I have been stuck on this

Answer 1

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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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