Q. Which expressions are equivalent to 4d+6+2d ?Choose all answers that apply:(A) 2(3d+3)(B) 6(d+6)(C) (3d+3)+(3d+3)
Simplify Expression: First, we need to simplify the given expression by combining like terms.4d+6+2d can be simplified by adding the 'd' terms together.4d+2d=6dSo the simplified expression is 6d+6.
Check Option A: Now let's check each answer choice to see if it is equivalent to the simplified expression 6d+6.Option A: 2(3d+3)We distribute the 2 into the parentheses.2×3d=6d2×3=6So, 2(3d+3) simplifies to 6d+6.
Check Option B: Option B: 6(d+6)We distribute the 6 into the parentheses.6×d=6d6×6=36So, 6(d+6) simplifies to 6d+36, which is not equivalent to 6d+6.
Check Option C: Option C: 3d+3)+(3d+3)(We combine like terms.\$3d + 3d = 6d\)\(\newline\)\(3 + 3 = 6\)\(\newline\)So, \(3d+3)+(3d+3)\ simplifies to \$6d + 6\).