Question

Factorise x2-6y2+6y-9​

Answer 1

Answer:

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Answer 2

Answer:

Given: x2-y2+6y-9

We can further write it as: x2-y2+6y-9= x2-(y2-6y+9)

So we get:

x2 - y2 + 6y - 9= x2 -(y2 - 2 × y × 3 + 3 2)

x2 - y2 + 6y - 9=x2 - (y - 3)2

Based on the equation a2 - b2=

(a + b) (a - b)

We get,

x2 - y2 + 6y - 9= (x + (y-3) ) (x - (y-3) )

x2 - y2 + 6y -9= (x+y-3) (x-y+3)

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