Distribute x2: We are given the expression x2×(8x2−1) and we need to multiply x2 by each term inside the parentheses.Using the distributive property, we multiply x2 by 8x2 and then x2 by −1.Calculation: x2×8x2=8x(2+2)=8x4 (since when we multiply powers with the same base, we add the exponents).Then, x2×−1=−x2.
Calculate products: Combine the two products from the previous step to get the final expression.Calculation: 8x4−x2.
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