Question

Elimina los signos de agrupación y reduce términos semejantes.

${6x}^{2} - ( {3x}^{2} - 2 \: (y - 3 \: ( {x}^{2} - y) - ( {x}^{2} + 6y)))$
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Answer 1

Respuesta:    $3x^2+2y-6x^4-30x^2y+36y^2$

Explicación paso a paso:

$6x^2-\left(3x^2-2\left(y-3\left(x^2-y\right)\left(x^2+6y\right)\right)\right)$

$=6x^2-3x^2+2\left(y-3\left(x^2-y\right)\left(x^2+6y\right)\right)$

Expandir $2\left(y-3\left(x^2-y\right)\left(x^2+6y\right)\right)$

$=6x^2-3x^2+2y-6\left(x^2-y\right)\left(x^2+6y\right)$

Expandir $6\left(x^2-y\right)\left(x^2+6y\right)$

$=6x^2-3x^2+2y-6x^4-30x^2y+36y^2$

Sumar elementos similares: $6x^2-3x^2=3x^2$

$=3x^2+2y-6x^4-30x^2y+36y^2$

Espero haberte ayudado :D