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Mathematics

Use direct method to evaluate the following product:

(8 - b) (3 + b)

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Answer

(8 - b) (3 + b)

= (8 ×\times 3) + (8 ×\times b + (- b) ×\times 3) + ((- b) ×\times b)

= 24 + (8b - 3b) - b2

= 24 + 5b - b2

Hence, (8 - b) (3 + b) = 24 + 5b - b2

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