Respuesta :

metchelle
Let us first assume that the operator between 5x^3 and 3 is addition. What Louise did was incorrect, as she did not follow the proper way of expanding a binomial. The actual steps to take when taking the square of a binomial is as follows:

(5x^3 + 3)^2 = (5x^3 + 3)(5x^3 + 3)
25x^6 + 15x^3 + 15x^3 + 9
25x^6 + 30x^3 + 9

The actual answer is  25x^6 + 30x^3 + 9.

MrRoyal

It is true that Louise's answer, 25x^6 * 9 is correct

How to determine the correct answer?

The expression is given as:

(5x^3 * 3)^2

Apply the law of indices

(5x^3)^2 * (3)^2

Evaluate the exponents

25x^6 * 9

The above is the same as Louise's answer

Hence, Louise's answer is correct

Read more about equivalent expressions at:

https://brainly.com/question/2972832

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