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Multiply.

7x^(2)(8x^(2)+5)
Answer:

Multiply.\newline7x2(8x2+5) 7 x^{2}\left(8 x^{2}+5\right) \newlineAnswer:

Full solution

Q. Multiply.\newline7x2(8x2+5) 7 x^{2}\left(8 x^{2}+5\right) \newlineAnswer:
  1. Distribute Term 7x27x^{2}: Distribute the term 7x27x^{2} across the sum (8x2+5)(8x^{2}+5). We apply the distributive property of multiplication over addition, which states that a(b+c)=ab+aca(b + c) = ab + ac. So, 7x2(8x2+5)=7x28x2+7x257x^{2}(8x^{2}+5) = 7x^{2}\cdot8x^{2} + 7x^{2}\cdot5.
  2. Multiply Terms: Multiply the terms 7x27x^{2} and 8x28x^{2}. When multiplying terms with the same base, we add the exponents. 7x28x2=(78)x2+2=56x47x^{2}*8x^{2} = (7*8)x^{2+2} = 56x^{4}.
  3. Combine Results: Multiply the term 7x27x^{2} by 55.\newlineSince 55 does not have a variable, we simply multiply the coefficient by 55.\newline7x2×5=35x27x^{2}\times 5 = 35x^{2}.
  4. Combine Results: Multiply the term 7x27x^{2} by 55.\newlineSince 55 does not have a variable, we simply multiply the coefficient by 55.\newline7x2×5=35x27x^{2}\times 5 = 35x^{2}.Combine the results from Step 22 and Step 33.\newlineWe have already multiplied the terms, so now we just put them together.\newline56x4+35x256x^{4} + 35x^{2} is the final simplified expression.

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