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

This type of question, asked 4 times: 17 Jul 2023 S1, 25 Sep 2024 S2, 14 Sep 2025 S3, 26 Sep 2025 S3. All 4 questions below, oldest first.

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  1. Question 1

    17 Jul 2023 S1

    55
    Simplify the following expression. (3x+5)2+(3x−5)2(3x+5)^2 + (3x-5)^2

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  2. Question 2

    25 Sep 2024 S2

    71
    The value of (x+y)2+(x−y)2(x + y)^2 + (x - y)^2 is equal to:

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  3. Question 3

    14 Sep 2025 S3

    72
    Given, a=5a = \sqrt{5}, what is (a+1)2+(a−1)2(a + 1)^2 + (a - 1)^2 ?

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  4. Question 4

    26 Sep 2025 S3

    70
    Given, x=3x = \sqrt{3}, what is (x+1)2+(x−1)2(x + 1)^2 + (x - 1)^2 ?

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