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Evaluate the following: a) (38)2 - (37)2 b) (75)2 - (74)2

Mathematics

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Here are the solutions to the problems.

: Evaluate:

  • a) (i) (38)2−(37)2(38)^2 - (37)^2

    • Step 1: Apply the difference of squares formula a2−b2=(a−b)(a+b)a^2 - b^2 = (a-b)(a+b). (38)2−(37)2=(38−37)(38+37)(38)^2 - (37)^2 = (38-37)(38+37)
    • Step 2: Simplify the expression. (1)(75)=75(1)(75) = 75
    75\boxed{75}
  • b) (ii) (75)2−(74)2(75)^2 - (74)^2 *

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