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2 years ago

Find the h.c.f of {x}^{3} + {y}^{3} \: and \: \: {x}^{2} - xy + {y}^{2}x 3 +y 3 andx 2 −xy+y 2

Mathematics

1 answer:

Ahat [919]2 years ago

5 0

Factorize the sum of cubes:

$x^3 + y^3 = (x+y) (x^2 - xy + y^2)$

so $x^2-xy+y^2$ is a factor of $x^3+y^3$ . Then the HCF is $\boxed{x^2 - xy + y^2}$ .

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Find the h.c.f of {x}^{3} + {y}^{3} \: and \: \: {x}^{2} - xy + {y}^{2}x 3 +y 3 andx 2 −xy+y 2 ​

Find the h.c.f of {x}^{3} + {y}^{3} \: and \: \: {x}^{2} - xy + {y}^{2}x 3 +y 3 andx 2 −xy+y 2