Explanation:
Since both terms are perfect squares, factor using the difference of squares formula,
a^2 − b^2 = (a + b)*(a − b) where a = x^2 and b = 4.
so,
(x^2 + 4)*(x^2 - 4)
now if we combine, we find that:
(x^2)*(x^2) + 4*x^2 + (-4)*x^2 + 4*(-4) => x^4 -16
therefore, what we have above is correct.
we can simplify even more:
(x + 2)*(x - 2) and (x + 2)*(x - 2)
this gives us what x equals:
x = -2 and x = 2
therefore x = -2, 2 is our answer.
I hope this help! If you have any questions, please ask!
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