Question

Expand (x+3)(x+3)

- (A) x² + 6x + 9
- (B) x² + 9
- (C) x² + 3x + 9
- (D) x² + 6x + 18

Answer 1

To expand the expression (x+3)(x+3), we can use the distributive property and then combine like terms to simplify the expression to x² + 6x + 9.

Step-by-step explanation:

To expand the expression (x+3)(x+3), you can use the distributive property. Multiply each term in the first parentheses by each term in the second parentheses:

1. x * x = x²
2. x * 3 = 3x
3. 3 * x = 3x
4. 3 * 3 = 9

Now combine the like terms:

1. x² + 3x + 3x + 9
2. x² + 6x + 9

Therefore, the expanded expression is x² + 6x + 9. Hence, the correct option is (A) x² + 6x + 9.