Alison had 15 comic, 13 joke books, and 19 puzzle books. she gave wendy 5 comic books, how many comic books did she have left

If she had 15 comic books before, and she gave 5 to Wendy, the she has 10 left. Hope this answers your question. :)

Given is (x - 4⁸)

Her factors are (x² - 4²)² (x² + 4²)

Let us prove whether her solution is correct or not.

(x² - 4²)² (x² + 4²)
(x⁴ - 4⁴) (x² + 4²) ; Follow PEMDAS rule as well as exponential multiplication rule which tells that when exponents are multiplied, the exponents will be added.

By using FOIL(First, Outside, Inside, Last) Method, we can prove if Angelina's solution is correct. NOTE: Do not disregard the positive or negative.

(x⁴ - 4⁴) (x² + 4²) ; For the First, multiply the first terms. They are underlined.
This gives you a partial x⁶ (Exponential Law of Multiplication is applied)

(x⁴ - 4⁴) (x² + 4²) ; For the Outside, multiply the outside terms. They are underlined. This gives you an additional to the partial x⁶ + 4²x⁴

(x⁴ - 4⁴) (x² + 4²) ; For the Inside, multiply the inside terms. They are underlined. This gives you an additional to the partial  x⁶ + 4²x⁴ - 4⁴x²

(x⁴ - 4⁴) (x² + 4²) ; For the Last, multiply the last terms. They are underlined. This will give you an additional to the final x⁶ + 4²x⁴ - 4⁴x² - 16⁶ = 0

Final Answer in complete sentence:
The result of multiplying the factors is x⁶ + 4²x⁴ - 4⁴x² - 16⁶ = 0 and is too far compared to (x - 4⁸) which is already a factor.