factorise x2-6y2+6y-9
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Answered by
3
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)
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