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Can anyone help me do this (4a - 7b)^2?

I just need help simplifying this? can anyone help me out?

8 Answers

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  • 1 decade ago
    Favorite Answer

    There is a rule where

    (a + b)^2 = a^2 + 2ab + b^2.

    This is much more efficient than FOIL in this case.

    Applying it to this:

    (4a - 7b)^2 = (4a)^2 + 2(4a)(-7b) + (-7b)^2

    = 16a^2 - 56ab + 49b^2

    Best of luck in your future endeavors.

  • FOIL it out.

    This is how you would expand it:

    (4a-7b)^2

    Expand the square:

    (4a-7b)(4a-7b)

    This isn't necessary, but I find it easier to use addition signs:

    (4a+ -7b)(4a+ -7b)

    FOIL-multiply the first terms, outer terms, inside terms, last terms:

    (4a x 4a)+(4a x -7b)+(-7b x 4a) + (-7b x -7b)

    Results from FOIL-ing:

    16a^2 + -28ab + -28ab + 49b^2

    Combine like terms:

    16a^2 + -56ab + 49b^2

    Put the subtraction signs back:

    16a^2 - 56ab + 49b^2

    And since there is no common multiple of 16, 56, and 49, this is as simple as it gets.

  • Como
    Lv 7
    1 decade ago

    ( 4a - 7b ) ( 4a - 7b )

    16 a^2 - 56 ab + 49 b^2

  • 1 decade ago

    u cnt simplify but you can expand

    Difference of two squares:

    (4a - 7b)(4a + 7b)

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  • 1 decade ago

    (4a - 7b)(4a - 7b)

    16a^2 - 28ab - 28ab + 49b^2

    16a^2 - 56ab + 49b^2.

  • 1 decade ago

    All you have to do is just foil it like

    16a^2-56ab+49b^2

  • 1 decade ago

    its already simplified to the lowest it can go

    or foil which is

    (16a^2-56ab+49b^2)

  • Anonymous
    1 decade ago

    (4a-7b)(4a-7b)

    FOIL

    16a^2-28ab-28ab+49b^2=

    16a^2-56ab+49^2

    Idk if its right

    Source(s): Me
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