desarrollar (4pix^2)/(4pi)+((-4x+7)^2)/(4pi)

Solución

desarrollar

\frac{4 π x ^{2}}{4 π} + \frac{( - 4 x + 7 ) ^{2}}{4 π}

x^{2} + \frac{4 x ^{2}}{π} - \frac{14 x}{π} + \frac{49}{4 π}

Pasos de solución

\frac{4 π x ^{2}}{4 π} + \frac{( - 4 x + 7 ) ^{2}}{4 π}

Aplicar la regla

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

= \frac{4 π x ^{2} + ( - 4 x + 7 ) ^{2}}{4 π}

Expandir

4 π x^{2} + (- 4 x + 7)^{2} : 4 π x^{2} + 16 x^{2} - 56 x + 49

= \frac{4 π x ^{2} + 16 x ^{2} - 56 x + 49}{4 π}

Aplicar las propiedades de las fracciones:

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

\frac{4 π x ^{2} + 16 x ^{2} - 56 x + 49}{4 π} = \frac{4 π x ^{2}}{4 π} + \frac{16 x ^{2}}{4 π} - \frac{56 x}{4 π} + \frac{49}{4 π}

= \frac{4 π x ^{2}}{4 π} + \frac{16 x ^{2}}{4 π} - \frac{56 x}{4 π} + \frac{49}{4 π}

Cancelar

\frac{4 π x ^{2}}{4 π} : x^{2}

= x^{2} + \frac{16 x ^{2}}{4 π} - \frac{56 x}{4 π} + \frac{49}{4 π}

Dividir:

\frac{16}{4} = 4

= x^{2} + \frac{4 x ^{2}}{π} - \frac{56 x}{4 π} + \frac{49}{4 π}

Dividir:

\frac{56}{4} = 14

= x^{2} + \frac{4 x ^{2}}{π} - \frac{14 x}{π} + \frac{49}{4 π}

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