Question
Express \( (x+8)^{2} \) as a trinomial in standard form.
Ask by Lynch Curry. in the United States
Feb 21,2025
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Answer
\( (x+8)^{2} = x^{2} + 16x + 64 \)
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Beyond the Answer
To express \( (x+8)^{2} \) as a trinomial in standard form, we can expand it using the formula for the square of a binomial: \[ (x + a)^{2} = x^{2} + 2ax + a^{2}. \] In this case, \( a = 8 \). So we have: \[ (x + 8)^{2} = x^{2} + 2(8)x + 8^{2} = x^{2} + 16x + 64. \] Therefore, the trinomial in standard form is \[ x^{2} + 16x + 64. \]
