Algebrahard · Past Paper
Factorize: x^2 - y^2 - z^2 + 2yz
A(x-y+z)(x+y-z)
B(x+y+z)(x-y-z)
C(x-y-z)(x+y-z)
D(x+y-z)(x-y-z)
✓ Correct Answer: A — (x-y+z)(x+y-z)
x^2 - (y^2 - 2yz + z^2) = x^2 - (y-z)^2 = (x + (y-z))(x - (y-z)).
Share this question
More from Algebra
- Points A and B are 100 km apart on a highway. One car starts from A and another from B at the same time. If they travel in the same direction, they meet in 5 hours. If they travel towards each other, they meet in 1 hour. What is the speed of the faster car?
- Factorize: x^2 + 2x - y^2 + 1
- What is the LCM of x^2y and xy^2?
- If x^2 + 1/x = 0, which is not true?
- Factorize: x^4 + x^2y^2 + y^4