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anonymous

  • 5 years ago

what is the full expansion of (3x+2)^4

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  1. bahrom7893
    • 5 years ago
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    rewrite as: [3x+2]^2 * [3x+2]^2

  2. bahrom7893
    • 5 years ago
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    (9x^2 + 2* 6x + 4) * (9x^2 + 2* 6x + 4)

  3. bahrom7893
    • 5 years ago
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    (9x^2 + 12x + 4) * (9x^2 +12x +4)

  4. bahrom7893
    • 5 years ago
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    now multiply these out

  5. bahrom7893
    • 5 years ago
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    still workin on it.. have to write it out

  6. anonymous
    • 5 years ago
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    is it 192x?

  7. bahrom7893
    • 5 years ago
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    cant be

  8. anonymous
    • 5 years ago
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    isnt there a chart ypu can use?

  9. bahrom7893
    • 5 years ago
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    no im doin this by hand and calculator

  10. anonymous
    • 5 years ago
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    ithink there is a chart first column is combinations second is the first term third column is the 2nd term...sound familiar?

  11. bahrom7893
    • 5 years ago
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    You mean Pascal's triangle? Sorry I can figure out how to use it, but it will take a while, havent used it in a long time

  12. bahrom7893
    • 5 years ago
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    im just gonna finish off

  13. anonymous
    • 5 years ago
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    yeah using that

  14. bahrom7893
    • 5 years ago
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    Anyway here's the solution: \[81x^4 + 108x^3 + 36x^2 + 108x^3 +144x^2 +48x +36x^2+48x+16 = 81x^4 +216x^3 +216x^2 +96x + 16\]

  15. bahrom7893
    • 5 years ago
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    \[81x^4 + 108x^3 + 36x^2 + 108x^3 +144x^2 +48x +36x^2+48x+16 = 81x^4 +216x^3 +216x^2 +96x + 16\]

  16. bahrom7893
    • 5 years ago
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    dang it the whole thing wont show up brb

  17. bahrom7893
    • 5 years ago
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    81x^4 + 108x^3 + 36x^2 + 108x^3 +144x^2 +48x +36x^2+48x+16 = =81x^4 +216x^3 +216x^2 +96x + 16

  18. bahrom7893
    • 5 years ago
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    that's the final answer, i triple checked my work

  19. anonymous
    • 5 years ago
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    ok thanks

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