Question

solve the factore (a-1)x2+a2xy+(a+1)y2

Answer 1

Hey friend here is your answer ⬇️⬇️☺️

$(a - 1) {x}^{2} + 2axy + (a + 1) {y}^{2} \\ = (a - 1) {x}^{2} + | (a +1) - (a - 1)| xy + (a + 1) {y}^{2} \\ = x(ax - x + ay + y) - y(ax - x + ay + y) \\ = (ax - x + ay + y)(x - y)$
Hope it helps you..✌️

Answer 2

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.