Question 14 of 27beginner🔍 AnalyzeTrue / False2 marks

3a(2b×3c)=6ab×9ac=54a2bc3a(2b \times 3c) = 6ab \times 9ac = 54a2bc

Correct Answer

False. The correct expansion is 3a(2b×3c)=3a(6bc)=18abc3a(2b \times 3c) = 3a(6bc) = 18abc. The mistakes are: (1) incorrect multiplication inside the bracket, (2) incorrect multiplication outside, and (3) incorrect exponent notation.

Exercise: Mind the Mistake, Mend the Mistake | Q: 6 | (Page Page 15)
For More Understanding

Explanation

The chapter emphasizes correct application of multiplication. First simplify inside the bracket: 2b×3c=6bc2b \times 3c = 6bc. Then multiply by 3a3a: 3a×6bc=18abc3a \times 6bc = 18abc. The original solution has multiple errors in multiplication and notation.

Solution Steps

  1. Simplify inside bracket: 2b×3c=6bc2b \times 3c = 6bc

  2. Multiply by 3a3a: 3a×6bc=18abc3a \times 6bc = 18abc

PreviousNext