Question 272190
(y-2)^4 
How do I work this problem?
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What do you mean my "work" it?
If you want to expand it, or multiply it out:
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The simplest way to expand binomials when the exponents are "large" is Pascal's Triangle.  The 4th power can be done as squaring it twice, but if the exponent is 5 or more, that's tedious and error-prone.
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To find the coefficients:
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
Each coefficient is the sum of 2 above it, so you can figure it out without notes if you don't remember it.
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Pascal's triangle for the 4th power gives coefficients of
1 4 6 4 1
The expansion will have 5 terms.
The exponents of the y terms will start with 4 and decrease.
The exponents of the 2 terms will start with 0 and increase.
The signs will alternate, or you can view it as (-2) with exponents.
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--> {{{1y^4*2^0 - 4*y^3*2^1 + 6*y^3*2^2 - 4*y^1*2^3 + 1*y^0*2^4}}}
= {{{y^4 - 8*y^3 + 24y^3 - 32*y + 16}}}