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Which expression is equivalent to?

Which expression is equivalent to?-example-1
User Pelumi
by
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1 Answer

6 votes

Answer: The last option.


Explanation:

1. You must square the binomial
(4x^(4)-3x^(2))^(2). By definition, you have:


(a-b)^(2)=a^(2)-2ab+b^(2)

2. Therefore:


9x^(5)+3x[(4x^(4))^(2)-2(4x^(4))(3x^(2))+(3x^(2))^(2)]=9x^(5)+3x[16x^(8)-24x^(6)+9x^(4)]=9x^(5)+48x^(9)-72x^(7)+27x^(5)

3. When you add like terms, you obtain the following result:


48x^(9)-72x^(7)+36x^(5)

4. Therefore, the answer is the last option.

User Malu
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