Question

Factorise
(a-1)×x²+a²xy+(a+1)×y²​

Answer 1

Answer:

Hey friend here is your answer

(a - 1) {x}^{2} + 2axy + (a + 1) {y}^{2}

= (a - 1) {x}^{2} + | (a +1) - (a - 1)| xy + (a + 1) {y}^{2}

= x(ax - x + ay + y) - y(ax - x + ay + y)

= (ax - x + ay + y)(x - y)(a−1)x 2 +2axy+(a+1)y 2

=(a−1)x 2 +∣(a+1)−(a−1)∣xy+(a+1)y 2

=x(ax−x+ay+y)−y(ax−x+ay+y)

=(ax−x+ay+y)(x−y)

Hope it helps you..✌️

Step-by-step explanation:

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