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Multiply.

x^(2)(6x^(2)-3x)
Answer:

Multiply.\newlinex2(6x23x) x^{2}\left(6 x^{2}-3 x\right) \newlineAnswer:

Full solution

Q. Multiply.\newlinex2(6x23x) x^{2}\left(6 x^{2}-3 x\right) \newlineAnswer:
  1. Distribute x2x^{2}: We need to distribute x2x^{2} across the expression (6x23x)(6x^{2}-3x) using the distributive property of multiplication over subtraction, which states that a(bc)=abaca(b - c) = ab - ac.
  2. Multiply 6x26x^{2}: First, multiply x2x^{2} by 6x26x^{2}. To do this, we add the exponents of xx because the bases are the same.\newlinex2×6x2=6x2+2=6x4x^{2} \times 6x^{2} = 6x^{2+2} = 6x^{4}
  3. Multiply 3x-3x: Next, multiply x2x^{2} by 3x-3x. Again, we add the exponents of xx because the bases are the same.\newlinex2×3x=3x2+1=3x3x^{2} \times -3x = -3x^{2+1} = -3x^{3}
  4. Combine results: Combine the two results to get the final expression. 6x43x36x^{4} - 3x^{3}

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