(a-1) x^2+(a+1) y^2+2axy factorise
Answers
Answered by
35
Step-by-step explanation:
The answer is given below :
Now,
(a - 1)x² + a²xy + (a + 1)y²
= (a − 1)x² + (a² - 1 + 1)xy + (a + 1)y² -
= (a − 1)x² + {(a − 1)(a + 1) + 1}xy + (a + 1)y²
-
= (a − 1)x² + (a − 1)(a + 1)xy + xy + (a + 1)y²
= (a - 1)x(x + (a + 1)y} + y{x + (a + 1)y}
= (x + ay + y)(ax - x + y)
Thank you for your question.
Similar questions
Math,
2 months ago
English,
3 months ago
Accountancy,
3 months ago
Math,
11 months ago
Biology,
11 months ago