Please help solve these math problems?

1. (a +6b) (a - 6b)

2. (x^2 -4) (x^2 + 4)

3. (a - 6b) (a + 6b)

4. (8 - y) ( 8 + y)

5. (7x +2y) (7x - 2y)

2 Answers

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  • 2 months ago

    1.

    (a + 6b) (a - 6b)  = a^2 - 36b^2

    2.

    (x^2 - 4) (x^2 + 4)  = x^4 - 16

    3.

    (a - 6b) (a + 6b)  = a^2 - 36b^2

    4.

    (8 - y) ( 8 + y)  = 64 - y^2

    5.

    (7x + 2y) (7x - 2y) = 49x^2 - 4y^2

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  • TomV
    Lv 7
    2 months ago

    All straightforward polynomial multiplication of the sum and difference:

    (a+b)(a-b) = a(a-b) + b(a-b) = a² - ab + ab - b² = a²-b²1) (a+6b)(a-6b) = a² - 36b²2) (x² - 4)(x² + 4) = x⁴ - 163) (a-6b)(a+6b) = a² - 36b²4) (8-y)(8+y) = 64 - y²5) (7x+2y)(7x-2y) = 49x² - 4y²

    The product of the sum and difference of two terms reduces to the difference of the squares of the terms.

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