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Multiply (2a - b) by (2a + b).

Mathematics

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Answer

C

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Here are the solutions to the questions.

Question 12: Multiply (2a−b)(2a - b) by (2a+b)(2a + b).

  1. Use the difference of squares formula, (x−y)(x+y)=x2−y2(x-y)(x+y) = x^2 - y^2.

    Here, x=2ax = 2a and y=by = b.

    (2a−b)(2a+b)=(2a)2−b2(2a - b)(2a + b) = (2a)^2 - b^2

  2. Simplify the expression.

    (2a)2−b2=4a2−b2(2a)^2 - b^2 = 4a^2 - b^2

    The correct option is C.
    The final answer is C. 4a2−b2\boxed{\text{C. } 4a^2 - b^2}.

    **Question

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