Find the product of the following- x2-xy-y2-x-y

( x ^ 2 xy+ y ^ 2 )× (x+y) =x( x ^ 2 xy+ y ^ 2 )+y( x ^ 2 xy+ y ^ 2 ) = x ^ 3 x ^ 2 y+x y ^ 2 + x ^ 2 y x y ^ 2 + y ^ 3 = x ^ 3 + y ^ ...

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Byju's Answer

Standard X

Mathematics

Quadratic Equations

Find the prod...

Question

Find the product of the following:
$(x^{2} - x y + y^{2}) \times (x + y)$

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Solution

$(x^{2} - x y + y^{2}) \times (x + y) = x (x^{2} - x y + y^{2}) + y (x^{2} - x y + y^{2}) = x^{3} - x^{2} y + x y^{2} + x^{2} y - x y^{2} + y^{3} = x^{3} + y^{3}$

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Find the product of the following:(x2−xy+y2)×(x+y)

(x2−xy+y2)×(x+y)=x(x2−xy+y2)+y(x2−xy+y2)=x3−x2y+xy2+x2y−xy2+y3=x3+y3

Find the product of the following:
$(x^{2} - x y + y^{2}) \times (x + y)$

$(x^{2} - x y + y^{2}) \times (x + y) = x (x^{2} - x y + y^{2}) + y (x^{2} - x y + y^{2}) = x^{3} - x^{2} y + x y^{2} + x^{2} y - x y^{2} + y^{3} = x^{3} + y^{3}$