Question

(a-1) x^2+(a+1) y^2+2axy factorise​

Answer 1

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)

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