Question

x^2+2xy+y^2-81 factorize
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Answer 1

Answer:

x² + 2xy + y² - 81

(x)² + 2(x)(y) + (y)² - 81

(x + y)² - (9)²

(x + y + 9 ) ( x + y - 9)

Answer 2

Answer:

(x+y+9)(x+y-9)

Step-by-step explanation:

x² + 2xy + y² - 81

(x² + 2xy + y²) - 81

(x + y)² - 81    (by (A+B)2=a2=2ab=b2)

(x + y)² - (9)2

(x + y + 9 ) ( x + y - 9)      (by a2-b2=(a+b)(a-b))