Question

Factorizar:
x⁵ + x³y² + xy⁴ + x⁴ + x²y²+ y⁴
a) (x + 1)(x² + xy + y²)(x² - xy + y²)
b) (x - 1)(x² + xy + y²)(x²- xy + y²)
c) (x + 1)(x² + xy - y²)(x² - xy + y²)
d) (x - 1)(x² + xy + y²)(x² - xy - y²)​​

Answer 1

Respuesta:

x⁵ + x³y² + xy⁴ + x⁴ + x²y²+ y⁴

=(x⁴+x²y²+y⁴)×(x+1)

(x + 1)(x² + xy + y²)(x² - xy + y²)

=x⁵+x³y²+xy⁴+x⁴+x²y²+y⁴

(x - 1)(x² + xy + y²)(x²- xy + y²)

=x⁵+x³y²+xy⁴-x⁴-x²y²-y⁴

(x + 1)(x² + xy - y²)(x² - xy + y²)

=x⁵-x³y²+2x²y³-xy⁴+x⁴-x²y²+2xy³-y⁴

(x - 1)(x² + xy + y²)(x² - xy - y²)

=x⁵-x³y²-2x²y³-xy⁴-x⁴+x²y²+2xy³+y⁴

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tarde mucho en hacerla por favor dame coronita

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Explicación paso a paso:

espero y te sirva

dame coronita plis :3