Answer: " 18 " .
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Explanation:
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(3x + 3)²
= (3x + 3) (3x + 3) ;
= Using "FOIL" method: "First, Outer, Inner, and Last" terms ;
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First terms: 3x* 3x = 9x² ;
Outer terms: 3x * 3 = 9x ;
Inner terms: 3 * 3x = 9x ;
Last terms: 3 * 3 = 9 ;
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So, we have: " 9x² + 9x + 9x + 9" ;
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Combine the "like forms" to simplify further:
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The "like terms" are: + 9x + 9x = 18x ;
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Rewrite the expression:
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" 9x² + 18x + 9 ";
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We want to find the coefficient of the second term in the trinomial given:
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" 9x² + Bx + 9 " ;
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The coefficient of the second term in this polynomial is: "B" ;
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B = 18 .
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The answer is: " 18 " .
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