mazza_728
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Hey guys,
Can anyone help with this question:
Find the coefficient of x<sup>4</sup> in (x<sup>2</sup>+3x+2)<sup>6</sup>??
Thanks
-
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Binomial Expansion (1 Viewer)
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Hey guys,
Can anyone help with this question:
Find the coefficient of x<sup>4</sup> in (x<sup>2</sup>+3x+2)<sup>6</sup>??
Thanks
Xayma
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(x+2)<sup>6</sup>(x+1)<sup>6</sup>
Therefore coefficient of x<sup>4</sup> is
<sup>6</sup>C<sub>2</sub>*<sup>6</sup>C<sub>6</sub>*(2)<sup>6</sup>+<sup>6</sup>C<sub>3</sub>*<sup>6</sup>C<sub>5</sub>*(2)<sup>5</sup>+<sup>6</sup>C<sub>4</sub>*<sup>6</sup>C<sub>4</sub>*(2)<sup>4</sup>+<sup>6</sup>C<sub>5</sub>*<sup>6</sup>C<sub>3</sub>*(2)<sup>3</sup>+<sup>6</sup>C<sub>6</sub>*<sup>6</sup>C<sub>2</sub>*2<sup>2</sup>=9420
and it should be "a" instead of "x". 1986 4)ii)
Therefore coefficient of x<sup>4</sup> is
<sup>6</sup>C<sub>2</sub>*<sup>6</sup>C<sub>6</sub>*(2)<sup>6</sup>+<sup>6</sup>C<sub>3</sub>*<sup>6</sup>C<sub>5</sub>*(2)<sup>5</sup>+<sup>6</sup>C<sub>4</sub>*<sup>6</sup>C<sub>4</sub>*(2)<sup>4</sup>+<sup>6</sup>C<sub>5</sub>*<sup>6</sup>C<sub>3</sub>*(2)<sup>3</sup>+<sup>6</sup>C<sub>6</sub>*<sup>6</sup>C<sub>2</sub>*2<sup>2</sup>=9420
and it should be "a" instead of "x". 1986 4)ii)
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