Question
Multiply. \( (t+4)^{2} \) \( (t+4)^{2}=\square \) (Simplify your answer.)
Ask by Hardy Marsh. in the United Arab Emirates
Mar 14,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( (t+4)^{2} = t^{2}+8t+16 \)
Solution
Calculate or simplify the expression \( (t+4)^{2} \).
Simplify the expression by following steps:
- step0: Solution:
\(\left(t+4\right)^{2}\)
- step1: Calculate:
\(t^{2}+8t+16\)
The result of multiplying \( (t+4)^{2} \) is \( t^{2}+8t+16 \).
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution The Deep Dive
To multiply \( (t+4)^{2} \), you can use the formula for squaring a binomial, which is \( (a+b)^{2} = a^{2} + 2ab + b^{2} \). Here, \( a = t \) and \( b = 4 \). Thus: \[ (t+4)^{2} = t^{2} + 2(t)(4) + 4^{2} = t^{2} + 8t + 16 \] So, \((t+4)^{2} = t^{2} + 8t + 16\)
