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Select the expressions that are equivalent to 6(2r)6(2r).\newlineMulti-select Choices:\newline(A) r(2×6)r(2 \times 6)\newline(B) (2+r)6(2 + r)6\newline(C) 6(r+r)6(r + r)\newline(D) r+12r + 12

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Full solution

Q. Select the expressions that are equivalent to 6(2r)6(2r).\newlineMulti-select Choices:\newline(A) r(2×6)r(2 \times 6)\newline(B) (2+r)6(2 + r)6\newline(C) 6(r+r)6(r + r)\newline(D) r+12r + 12
  1. Simplify Expression: Simplify the given expression 6(2r)6(2r).\newlineCalculation: 6×2r=12r6 \times 2r = 12r.
  2. Compare Choices: Compare each choice to 12r12r.A)$r(2×6)A) \$r(2 \times 6) simplifies to r×12=12rr \times 12 = 12r.\}
  3. Check Choice (A): Check choice (B) (2+r)6(2 + r)6.\newlineCalculation: Distribute 66 to get 12+6r12 + 6r, which is not equal to 12r12r.
  4. Check Choice (B): Check choice (C) 6(r+r)6(r + r).\newlineCalculation: Simplify r+rr + r to 2r2r, then 6×2r=12r6 \times 2r = 12r.
  5. Check Choice (C): Check choice (D) r+12r + 12.\newlineCalculation: This expression is simply r+12r + 12, which does not match 12r12r.

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