Square each binomial.
$(-3y+5{)}^2$

• A. $9y^2+25$
• B. $9y^2-30y+25$
• C. $-9y^2+30y-25$
• D. $-9y^2-30y+25$

Answer: (B)

Verified step by step guidance

1. Recognize that squaring a binomial of the form \((a + b)^2\) follows the formula: \( (a + b)^2 = a^2 + 2ab + b^2 \).
2. Identify the terms in the binomial: here, \(a = -3y\) and \(b = 5\).
3. Calculate the square of the first term: \(a^2 = (-3y)^2 = 9y^2\).
4. Calculate twice the product of the two terms: \(2ab = 2 \times (-3y) \times 5 = -30y\).
5. Calculate the square of the second term: \(b^2 = 5^2 = 25\). Then, combine all parts to write the expanded form: \$9y^2 - 30y + 25$.