Question $100 g^{8} n^{2}+50 \mathrm{gn}^{2}=$

Studdy Solution

STEP 1

1. The expression is $100g^8n^2 + 50gn^2$ .
2. We need to simplify the expression.

STEP 2

1. Factor out the greatest common factor.
2. Simplify the expression.

STEP 3

Identify the greatest common factor in the terms $100g^8n^2$ and $50gn^2$ .
The common factor is $50gn^2$ .
$100g^8n^2 + 50gn^2 = 50gn^2(2g^7 + 1)$

STEP 4

Simplify the expression inside the parentheses:
The expression is already simplified as $2g^7 + 1$ .
The simplified expression is:
$50gn^2(2g^7 + 1)$

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