To identify which pair of expressions are equivalent, we can simplify each pair:
-
2x + 2 and 2(x + 2):
- \( 2(x + 2) = 2x + 4 \) (not equivalent to \( 2x + 2 \))
-
3x + 2x and x²(3 + 2):
- \( 3x + 2x = 5x \)
- \( x²(3 + 2) = x² \cdot 5 = 5x² \) (not equivalent to \( 5x \))
-
−3(x + 2) and −3x − 3:
- \( −3(x + 2) = -3x - 6 \) (not equivalent to \( -3x - 3 \))
-
2(x + 3) and 2x + 6:
- \( 2(x + 3) = 2x + 6 \) (these are equivalent)
Thus, the pair of equivalent expressions is:
2(x + 3) and 2x + 6.