Using subtraction of perfect squares, it is found that Deion missed the subtraction of perfect squares at the term ((x^2−4), and the correct solution would be given by:
[tex]10(x^2 + 4)(x + 2)(x - 2)[/tex]
What is subtraction of perfect squares?
The factoring is represented by the following identity:
[tex]a^2 - b^2 = (a - b)(a + b)[/tex]
In this problem, the expression is:
[tex]10x^4 - 160[/tex]
The common term is 10, hence:
[tex]10(x^4 - 16)[/tex]
Both [tex]x^4[/tex] and 16 are perfect squares, hence:
[tex]x^4 - 16 = (x^2)^2 - 4^2 = (x^2 - 4)(x^2 + 4)[/tex]
[tex]x^2[/tex] and 4 are perfect squares, hence:
[tex]x^2 - 4 = x^2 - 2^2 = (x + 2)(x - 2)[/tex]
This last step was missed by Deion, hence the factored expression is:
[tex]10(x^2 + 4)(x + 2)(x - 2)[/tex]
To learn more about subtraction of perfect squares, you can check https://brainly.com/question/16948935
