Question

factorise x2-y2+6y-9​

Answer 1

Answer:

(x+y-3)(x-y+3)

Step-by-step explanation:

x²-y²+6y-9

x²-(y²-6y+9)

x²-(y² -2(3)(y) +3²)

Using identity:

(a-b)²=a²+b²-2ab

x²-(y-3)²

Using identity:

a²-b²=(a+b)(a-b)

(x+y-3)(x-y+3)

Answer 2

Step-by-step explanation:

${x}^{2} - {y}^{2} + 6y - 9 \\ \\ {x}^{2} - ( {y}^{2} - 6y + 9) \\ \\ {x}^{2} - ( {y}^{2} - 2 \times y \times 3 + {3}^{2} ) \\ \\ {x}^{2} - {(y - 3)}^{2} \\ \\ (x + y - 3)(x - y + 3)$

PLZ MARK AS BRAINLIEST