Final answer:
The expression uv^2 + 5uv + u^2, when evaluated for u = 3 and v = 4, gives a final answer of 117.
Step-by-step explanation:
To evaluate the expression uv² + 5uv + u² for u = 3 and v = 4, we substitute the values of u and v into the expression.
Replacing u with 3 and v with 4 gives: (3)(4)² + 5(3)(4) + (3)².
Simplifying, we get: 48 + 60 + 9 = 117. Therefore, the value of the expression is 117.To evaluate the expression uv^2 + 5uv + u^2 for u = 3 and v = 4, we substitute the given values of u and v into the expression. This should then look like this: 3(4)^2 + 5(3)(4) + (3)^2.
By performing the calculation step by step, the expression changes to the following: 3(16) + 5(3)(4) + 9, which simplifies to 48 + 60 + 9.
Adding these values together, the final answer to the expression uv^2 + 5uv + u^2 for u = 3 and v = 4 is 117.
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