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The expression \( x^3(2+y^5) \) can be expanded by distributing \( x^3 \) to both terms inside the parentheses.
Hereβs how you do the distribution:
1. Multiply \( x^3 \) by 2: \( x^3 \times 2 = 2x^3 \)
2. Multiply \( x^3 \) by \( y^5 \): \( x^3 \times y^5 = x^3y^5 \)
So the distributed expression becomes:
\[ 2x^3 + x^3y^5 \]
Among the given options, this matches the expression \( 2x^3 + x^3y^5 \).
Thus, the correct answer is:
**2x3+x3y5**