Algebrahard · Past Paper
Factorize a^4 + 1/a^4 + 1.
A(a^2 + 1/a^2 + 1)(a^2 + 1/a^2 - 1)
B(a^2 + 1/a^2 + 1)^2
C(a^2 - 1/a^2 + 1)(a^2 + 1/a^2 - 1)
D(a^2 + 1/a^2)^2 - 1
✓ Correct Answer: A — (a^2 + 1/a^2 + 1)(a^2 + 1/a^2 - 1)
(a^2 + 1/a^2)^2 - 2 + 1 = (a^2 + 1/a^2)^2 - 1^2.
Share this question
More from Algebra
- If a and c have opposite signs, then the roots of ax^2 + bx + c = 0 are:
- For what value of k are the roots of kx^2 + 4x + 1 = 0 real?
- The sum of ages of a father and son is 45. Five years ago, the product of their ages was 124. Find father's age. (Convert to linear context: Five years ago, father was 4 times son).
- What are the factors of x^2 - 1/9?
- If x^2 - 5x + 1 = 0, find the value of x^2 + 1/x^2.