Factorise X - 2y - X square + 4 y square
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Answered by
134
x - 2y - x^2+4y^2
=(x-2y)-(x^2-4y^2)
=(x-2y)-(x-2y)(x+2y)
=(x-2y){1-(x+2y)}
=(x-2y)-(x^2-4y^2)
=(x-2y)-(x-2y)(x+2y)
=(x-2y){1-(x+2y)}
Answered by
165
Now,
x - 2y - x² + 4y²
= (x - 2y) - (x² - 4y²)
= (x - 2y) - (x + 2y) (x - 2y)
= (x - 2y) (1 - x - 2y),
which is the required factorization.
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