Question

simplify (3 + 5y)².

Explanation:

Step1: Recall the formula for squaring a binomial

The formula for \((a + b)^2\) is \(a^2 + 2ab + b^2\). Here, \(a = 3\) and \(b = 5y\).

Step2: Calculate \(a^2\)

\(a^2 = 3^2 = 9\).

Step3: Calculate \(2ab\)

\(2ab = 2\times3\times5y = 30y\).

Step4: Calculate \(b^2\)

\(b^2 = (5y)^2 = 25y^2\).

Step5: Combine the terms

Adding the results from Step2, Step3, and Step4: \(9 + 30y + 25y^2\).

Answer:

\(25y^2 + 30y + 9\)