𝑥^2 − 𝑦^2 + 6𝑦 − 9
𝑥^2 − 𝑦^2 + 6𝑦 − 9
We can further write it as
= 𝑥^2 − (𝑦^2 − 6𝑦 + 9)
So we get
= 𝑥^2 − (𝑦^2 − 2 × 𝑦 × 3 + 3^2)
= 𝑥^2 − (𝑦 − 3)^2
Based on the equation 𝑎^2 − 𝑏^2 = (𝑎 + 𝑏)(𝑎 − 𝑏)
We get,
= [x + (y – 3)][x – (y – 3)]
= (x + y – 3) (x – y + 3)
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