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Simplify the following expression:
[tex]\[ y^3 + 4x \left(6y^3 + 3x \right) \][/tex]

Sagot :

GinnyAnswer
Let's simplify the given expression step by step:

Starting with the expression:
[tex]\[ y^3 + 4x \left( 6y^3 + 3x \right) \][/tex]

1. Distribute the multiplication within the parentheses:
[tex]\[ y^3 + 4x \cdot 6y^3 + 4x \cdot 3x \][/tex]

2. Perform the multiplications:
[tex]\[ y^3 + 24xy^3 + 12x^2 \][/tex]

3. Rearrange the terms (usually in decreasing order of the powers):
[tex]\[ 12x^2 + 24xy^3 + y^3 \][/tex]

So, the simplified expression is:
[tex]\[ 12x^2 + 24xy^3 + y^3 \][/tex]

This is the expanded and simplified form of the given expression.
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