expandir ((10-x)^2)/(16)+(x^2)/(4pi)

Solução

expandir

\frac{( 10 - x ) ^{2}}{16} + \frac{x ^{2}}{4 π}

\frac{25}{4} - \frac{5 x}{4} + \frac{x ^{2}}{16} + \frac{x ^{2}}{4 π}

Passos da solução

\frac{( 10 - x ) ^{2}}{16} + \frac{x ^{2}}{4 π}

(10 - x)^{2} = 100 - 20 x + x^{2}

= \frac{x ^{2} - 20 x + 100}{16} + \frac{x ^{2}}{4 π}

Aplicar as propriedades das frações:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{100 - 20 x + x ^{2}}{16} = \frac{100}{16} - \frac{20 x}{16} + \frac{x ^{2}}{16}

= \frac{100}{16} - \frac{20 x}{16} + \frac{x ^{2}}{16} + \frac{x ^{2}}{4 π}

Cancelar

\frac{100}{16} : \frac{25}{4}

= \frac{25}{4} - \frac{20 x}{16} + \frac{x ^{2}}{16} + \frac{x ^{2}}{4 π}

Cancelar

\frac{20 x}{16} : \frac{5 x}{4}

= \frac{25}{4} - \frac{5 x}{4} + \frac{x ^{2}}{16} + \frac{x ^{2}}{4 π}

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