#160; #160;x2 #160;+ #160;8x #160;+ #160;24y #160; #160;9y2=x2 #160; #160;9y2 #160;+8x #160;+ #160;24y #160;=x2 #160; #160;3 ...

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Addition of Polynomials

x2+8 x+24 y-9...

Question

x² + 8x + 24y $-$ 9y²

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Solution

$x^{2} + 8 x + 24 y - 9 y^{2} = x^{2} - 9 y^{2} + 8 x + 24 y = x^{2} - {(3 y)}^{2} + 8 (x + 3 y) = (x + 3 y) (x - 3 y) + 8 (x + 3 y) = (x + 3 y) (x - 3 y + 8)$

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