Find each product. See Example 5. (y + 2)³

Guida verificata passo dopo passo

Recognize that the expression \((y + 2)^3\) is a binomial raised to the third power, which means you need to expand it using the binomial cube formula.

Recall the binomial cube formula: \((a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3\). Here, identify \(a = y\) and \(b = 2\).

Calculate each term separately: \(a^3 = y^3\), \(3a^2b = 3 \times y^2 \times 2\), \(3ab^2 = 3 \times y \times 2^2\), and \(b^3 = 2^3\).

Write the expanded form by substituting the calculated terms: \(y^3 + 3y^2 \times 2 + 3y \times 4 + 8\).

Simplify the coefficients in each term to get the final expanded expression in terms of \(y\).

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