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Multiply.

x^(2)(8x^(2)-1)
Answer:

Multiply.\newlinex2(8x21) x^{2}\left(8 x^{2}-1\right) \newlineAnswer:

Full solution

Q. Multiply.\newlinex2(8x21) x^{2}\left(8 x^{2}-1\right) \newlineAnswer:
  1. Distribute x2x^2: We are given the expression x2×(8x21)x^2 \times (8x^2 - 1) and we need to multiply x2x^2 by each term inside the parentheses.\newlineUsing the distributive property, we multiply x2x^2 by 8x28x^2 and then x2x^2 by 1-1.\newlineCalculation: x2×8x2=8x(2+2)=8x4x^2 \times 8x^2 = 8x^{(2+2)} = 8x^4 (since when we multiply powers with the same base, we add the exponents).\newlineThen, x2×1=x2x^2 \times -1 = -x^2.
  2. Calculate products: Combine the two products from the previous step to get the final expression.\newlineCalculation: 8x4x28x^4 - x^2.

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