Asked by Priyakhi phukon
X2-3xy-18y2
Answers
Answered by
Anonymous
x^2 - 3 x y - 18 y^2
= (x-6y)(x+3y)
= (x-6y)(x+3y)
Answered by
Bosnian
Factorization:
x² - 3 x y - 18 y²
Add and subtract 3 x y to both sides.
x² - 3 x y - 18 y² + 3 x y - 3 x y = x² + 3 x y - 18 y² - 3 x y - 3 x y =
x² + 3 x y - 18 y² - 6 x y = ( x² + 3 x y ) - ( 18 y² + 6 x y ) =
( x² + 3 x y ) - ( 6 x y + 18 y² ) = x ( x + 3 y ) - 6 y ( x + 3 y ) =
( x + 3 y ) ( x - 6 y )
x² - 3 x y - 18 y²
Add and subtract 3 x y to both sides.
x² - 3 x y - 18 y² + 3 x y - 3 x y = x² + 3 x y - 18 y² - 3 x y - 3 x y =
x² + 3 x y - 18 y² - 6 x y = ( x² + 3 x y ) - ( 18 y² + 6 x y ) =
( x² + 3 x y ) - ( 6 x y + 18 y² ) = x ( x + 3 y ) - 6 y ( x + 3 y ) =
( x + 3 y ) ( x - 6 y )
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