Question

rewrite without parentheses and simplify.
(3y - 5)^2

Explanation:

Step1: Recall the square of a binomial formula

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

Step2: Apply the formula

Substitute \(a = 3y\) and \(b = 5\) into the formula:
\((3y)^2 - 2\times(3y)\times5 + 5^2\)

Step3: Simplify each term

• For \((3y)^2\), we have \(3^2\times y^2 = 9y^2\).
• For \(-2\times(3y)\times5\), we calculate \(-2\times3\times5\times y=-30y\).
• For \(5^2\), we get \(25\).

Step4: Combine the simplified terms

Putting it all together, we have \(9y^2 - 30y + 25\).

Answer:

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