Question

Question was provided via image upload.

Explanation:

Identify the original expression

The top of the image is partially cut off, but we can clearly see the end of an expression: ... (3a + 5b)^2 or ... (3a + 5b)(3a + 5b). Looking at the multiple-choice options:

• \(9a^2 + 25b^2\)
• \(9a^2 + 25ab + 10b^2\)
• \(9a^2 + 30ab + 25b^2\)
• \(9a^2 + 10ab + 25b^2\)

These options represent the expansion of the binomial square \((3a + 5b)^2\).

Expand the binomial square

Using the Polynomial Multiplication and Algebraic Simplification knowledge points

$$
LATEXBLOCK0
$$

Answer:

• (A) \(9a^2 + 25b^2\)
• (B) \(9a^2 + 25ab + 10b^2\)
• (C) \(9a^2 + 30ab + 25b^2\) (Correct answer)
• (D) \(9a^2 + 10ab + 25b^2\)