indicated expansion (x+2)^7
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indicated expansion (x+2)^7
Use the binomial expansion.
There is a pattern to these no matter the exponent.
See the pattern? The a's powers go down and the b's go up.
The coefficients can be found by multiplying the previous coefficient by the power of a and dividing by one more than the power of b.
i.e. Say we haveand we want the next coefficient in the line of terms.
Next coefficient: Start with. Then, we have
The first coeffcient is always the leading power. In this case, 7.
See? For this problem, just sub x in for a and 2 in for b into the expansion.
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