Questions: (3h^2+7h+5)-(3h^2+h+5)

(3h^2+7h+5)-(3h^2+h+5)
Transcript text: $\left(3 h^{2}+7 h+5\right)-\left(3 h^{2}+h+5\right)$
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Solution

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Solution Steps

Step 1: Expand the expression

The given expression is: \[ (3h^{2} + 7h + 5) - (3h^{2} + h + 5) \]

First, distribute the negative sign to the terms inside the second parentheses: \[ 3h^{2} + 7h + 5 - 3h^{2} - h - 5 \]

Step 2: Combine like terms

Combine the terms with the same degree of \( h \):

  • \( 3h^{2} - 3h^{2} = 0 \)
  • \( 7h - h = 6h \)
  • \( 5 - 5 = 0 \)

So, the expression simplifies to: \[ 6h \]

Final Answer

\[ \boxed{6h} \]

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