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How can I do this math question? Really urgent!!!?

Both Binomial Expansion questions:

1. (2x - 1/2)^4

http://answers.yahoo.com/question/index;_ylt=Au4ht...

20 points for the two questions. Thank you.

Update:

Thanks for the help, I reeeaaally appreciate it. I don't know how to do the second question. My teacher didn't teach this. Any solutions for the second question has to be answered on the link posted above.

Again thanks for the help!!

Update 2:

Sigma Notation that has : nCk a^n-k b^k.

4 Answers

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  • 8 years ago
    Favorite Answer

    This is just brute-force calculations. No tricks or general forms to fall back on...

    (2x - 1/2)^4

    (2x - 1/2)² (2x - 1/2)²

    Here, we can use this general form:

    (x - y)² = x² - 2xy + y²

    So we get:

    (4x² - x + 1/4) (4x² - x + 1/4)

    Now we have two trinomials, FOIL them like normal to get:

    16x^4 - 4x³ + x² - 4x³ + x² - x/4 + x² - x / 4 + 1/16

    Combine like terms...

    16x^4 - 8x³ + 3x² - x/2 + 1/16

  • 8 years ago

    To expand (A + B)n by the binomial theorem

    Start out with the 1st term, which is 1AnB0

    then:

    1. Multiply the numerical coefficient by the exponent of A,

    2. Divide that by the number of term

    3. Write that number down to start the next term

    4. Beside that write A with an exponent that is 1 less

    5. Beside that write B with an exponent that is 1 more.

    This will be the next term. Then repeat the process with

    the new term. You are finished when the

    exponent of A becomes 0 and the exponent of B becomes n

  • Kala
    Lv 4
    8 years ago

    Ew. I just got done learning that ish. I don't want to do it.

  • A B2
    Lv 7
    8 years ago

    to find the x?

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