Question

Factorise x2 - 6y2 + 6y - 9​

Answer 1

Answer:

Given : x

2

−y

2

+6y−9

We can further write it as

x

2

−y

2

+6y−9=x

2

−(y

2

−6y+9)

So we get

x

2

−y

2

+6y−9=x

2

−(y

2

−2×y×3+3

2

)

x

2

−y

2

+6y−9=x

2

−(y−3)

2

Based on the equation a

2

−b

2

=(a+b)(a−b)

We get,

x

2

−y

2

+6y−9=[x+(y−3)][x−(y−3)]

x

2

−y

2

+6y−9=(x+y−3)(x−y+3