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Simplifying and Expanding Polynomial Expressions (8 Problems)

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Please help with the following attached questions:

12, 14, 18, 32, 42, 50, 56 and 64.

(See attached file for full problem description)

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Solution Summary

Simplifying and Expanding Polynomial Expressions are investigated.

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12.
(2x^0y^4)^3
You need to cube each number in the parentheses as this means (2x^0y^4)*(2x^0y^4)*(2x^0y^4)

8x^0y^64

14.
-(p^4/q)^2
this means (p^4)^2 / q^2
which means (p^4)(p^4)/q^2

p^16/q^2

The negative is outside the parentheses meaning that the squared number is negative, so the final answer is

-(p^16/q^2)

18.
(x+y)^2 is not equal to x^2 + y^2
If you look at this, you will see that (x+y)^2 means (x+y)(x+y)
Using the FOIL method, ...

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