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(b) 
3x-[2x+4(3a-x)].

(b) 3x[2x+4(3ax)] 3 x-[2 x+4(3 a-x)] .

Full solution

Q. (b) 3x[2x+4(3ax)] 3 x-[2 x+4(3 a-x)] .
  1. Distribute 44 inside parentheses: First, distribute the 44 inside the parentheses: 4×3a4 \times 3a gives 12a12a, and 4×x4 \times -x gives 4x-4x. So, we have 3x[2x+12a4x]3x - [2x + 12a - 4x].
  2. Combine like terms in brackets: Now, combine like terms inside the brackets: 2x4x2x - 4x gives 2x-2x. So, we have 3x[2x+12a]3x - [-2x + 12a].
  3. Distribute negative sign inside brackets: Next, distribute the negative sign inside the brackets to both terms: (2x)-(-2x) gives +2x+2x, and 12a-12a gives 12a-12a. So, we have 3x+2x12a3x + 2x - 12a.
  4. Combine like terms: Finally, combine the like terms 3x3x and 2x2x: 3x+2x3x + 2x gives 5x5x. So, the simplified expression is 5x12a5x - 12a.

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