Simplify \((3 - \sqrt{7})(5 + \sqrt{7})\).

To simplify the expression (3 - √7)(5 + √7), multiply the terms of each binomial using the distributive property and combine like terms. The simplified expression is 8 - 2√7.
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Answered by adipratapsingh12 | 2024-06-18

To simplify the expression (3 - √7)(5 + √7) , we use the distributive property (also known as the FOIL method for binomials) to multiply the terms in each binomial by each other. We multiply the first terms together, the outside terms, the inside terms, and then the last terms, combining like terms where possible.
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Answered by MonteBlue | 2024-06-24

The expression ( 3 − 7 ​ ) ( 5 + 7 ​ ) simplifies to 8 − 2 7 ​ using the distributive property. By multiplying corresponding terms and combining like terms, we arrive at the final result. This method is systematic and helps maintain accuracy in simplification.
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Answered by adipratapsingh12 | 2025-01-14