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What are the coefficients for the binomial expansion of (p + q)6?
1, 8, 28, 56, 70, 56, 28, 8, 1
1, 6, 15, 20, 15, 6, 1
1, 5, 10, 10, 5, 1
1, 4, 6, 4, 1

Respuesta :

quasarJose

Answer:

1, 6, 15, 20, 15, 6, 1

Step-by-step explanation:

The binomial expansion of (p + q)⁶ gives 1, 6, 15, 20, 15, 6, 1.

There is always one more extra term for each power;

    (p + q)⁰  =                                      1

    (p + q)¹ =                                   1         1

    (p + q)² =                             1         2           1

    (p + q)³ =                         1         3          3           1

    (p + q)⁴ =                   1          4          6          4             1

    (p + q)⁵ =             1          5          10         10         5              1

   (p + q)⁶ =          1        6           15         20        15            6             1

The above is a paschal triangle and which shows the coefficients of the expanded terms to their power.

AFailingApe

Answer:  B:     1, 6, 15, 20, 15, 6, 1

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