Mathematics: Which expression is equivalent to?

A crest a scatteroy displaying the data in the table. Be sure to include a linear trend line...

Which expression is equivalent to? - id4990600, magicalforlife

matthewmalte7329

17.01.2022

The last option.

Step-by-step 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.

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