simplificar (y^3-7x^4y^4)+(-10x^4y^3+6y^3+4x^4y^4)-(x^4y^3+6x^4y^4)

Solução

simplificar

(y^{3} - 7 x^{4} y^{4}) + (- 10 x^{4} y^{3} + 6 y^{3} + 4 x^{4} y^{4}) - (x^{4} y^{3} + 6 x^{4} y^{4})

- 11 x^{4} y^{3} - 9 x^{4} y^{4} + 7 y^{3}

Passos da solução

(y^{3} - 7 x^{4} y^{4}) + (- 10 x^{4} y^{3} + 6 y^{3} + 4 x^{4} y^{4}) - (x^{4} y^{3} + 6 x^{4} y^{4})

Simplificar

(y^{3} - 7 x^{4} y^{4}) + (- 10 x^{4} y^{3} + 6 y^{3} + 4 x^{4} y^{4}) - (x^{4} y^{3} + 6 x^{4} y^{4}) : y^{3} - 7 x^{4} y^{4} - 10 x^{4} y^{3} + 6 y^{3} + 4 x^{4} y^{4} - (x^{4} y^{3} + 6 x^{4} y^{4})

= y^{3} - 7 x^{4} y^{4} - 10 x^{4} y^{3} + 6 y^{3} + 4 x^{4} y^{4} - (x^{4} y^{3} + 6 x^{4} y^{4})

Agrupar termos semelhantes

= - (x^{4} y^{3} + 6 x^{4} y^{4}) + y^{3} + 6 y^{3} - 7 x^{4} y^{4} + 4 x^{4} y^{4} - 10 x^{4} y^{3}

Somar elementos similares:

y^{3} + 6 y^{3} = 7 y^{3}

= - (x^{4} y^{3} + 6 x^{4} y^{4}) + 7 y^{3} - 7 x^{4} y^{4} + 4 x^{4} y^{4} - 10 x^{4} y^{3}

Somar elementos similares:

- 7 x^{4} y^{4} + 4 x^{4} y^{4} = - 3 x^{4} y^{4}

= - (x^{4} y^{3} + 6 x^{4} y^{4}) + 7 y^{3} - 3 x^{4} y^{4} - 10 x^{4} y^{3}

Colocar os parênteses utilizando:

- (a + b) = - a - b

- (x^{4} y^{3} + 6 x^{4} y^{4}) = - x^{4} y^{3} - 6 x^{4} y^{4}

= - x^{4} y^{3} - 6 x^{4} y^{4} + 7 y^{3} - 3 x^{4} y^{4} - 10 x^{4} y^{3}

Agrupar termos semelhantes

= - x^{4} y^{3} - 10 x^{4} y^{3} - 6 x^{4} y^{4} - 3 x^{4} y^{4} + 7 y^{3}

Somar elementos similares:

- x^{4} y^{3} - 10 x^{4} y^{3} = - 11 x^{4} y^{3}

= - 11 x^{4} y^{3} - 6 x^{4} y^{4} - 3 x^{4} y^{4} + 7 y^{3}

Somar elementos similares:

- 6 x^{4} y^{4} - 3 x^{4} y^{4} = - 9 x^{4} y^{4}

= - 11 x^{4} y^{3} - 9 x^{4} y^{4} + 7 y^{3}

s im pl i f y 8 + 7

- 8 + 4 y = - 20

f a c t or 9 n^{2} - 64

s im pl i f y 0. 1^{3}

5 < \frac{x - 2}{6} < 6