desarrollar ([5(x+h)]-[5x^2])/h

Solución

desarrollar

\frac{[ 5 ( x + h ) ] - [ 5 x ^{2} ]}{h}

\frac{5 x}{h} + 5 - \frac{5 x ^{2}}{h}

Pasos de solución

\frac{( 5 ( x + h ) ) - ( 5 x ^{2} )}{h}

Quitar los parentesis:

(a) = a

= \frac{5 ( x + h ) - 5 x ^{2}}{h}

Expandir

5 (x + h) - 5 x^{2} : 5 x + 5 h - 5 x^{2}

= \frac{5 x + 5 h - 5 x ^{2}}{h}

Aplicar las propiedades de las fracciones:

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

\frac{5 x + 5 h - 5 x ^{2}}{h} = \frac{5 x}{h} + \frac{5 h}{h} - \frac{5 x ^{2}}{h}

= \frac{5 x}{h} + \frac{5 h}{h} - \frac{5 x ^{2}}{h}

Cancelar

\frac{5 h}{h} : 5

= \frac{5 x}{h} + 5 - \frac{5 x ^{2}}{h}

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