#160; #160; #160;6x2 #160; 7xy #160; #160;13y2=6x2 #160;+ #160;6xy #160; #160;13xy #160; 13y2 #160; #160; #160; #160; #160; ...

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Byju's Answer

Standard IX

Mathematics

Addition of Polynomials

6 x2+7 x y-13...

Question

6x² + 7xy $-$ 13y²

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Solution

$6 x^{2} - 7 x y - 13 y^{2} = 6 x^{2} + 6 x y - 13 x y - 13 y^{2} [∵ 6 \times (- 13) = - 78 6 \times (- 13) = - 78 and 6 + (- 13) = - 7] = 6 x (x + y) - 13 y (x + y) = (x + y) (6 x - 13 y)$

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6x2 + 7xy - 13y2

6x2 -7xy - 13y2=6x2 + 6xy - 13xy -13y2 ∵ 6×-13 = -78 6×-13 =-78and 6+-13 =-7= 6x x + y -13yx +y= x + y6x -13y

6x² + 7xy $-$ 13y²

$6 x^{2} - 7 x y - 13 y^{2} = 6 x^{2} + 6 x y - 13 x y - 13 y^{2} [∵ 6 \times (- 13) = - 78 6 \times (- 13) = - 78 and 6 + (- 13) = - 7] = 6 x (x + y) - 13 y (x + y) = (x + y) (6 x - 13 y)$