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Mathematics

Use direct method to evaluate the following product:

(b - 3) (b - 5)

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Answer

(b - 3) (b - 5)

Using the formula,

(x + a)(x + b) = x2 - (a + b)x + ab

= b2 - (3 + 5)b + 3 ×\times 5

= b2 - 8b + 15

Hence, (b - 3) (b - 5) = b2 - 8b + 15

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