Question

utiliza la propiedad distributiva para desarrollar las expresiones ​

Answer 1

Explicación paso a paso:

PROPIEDAD DISTRIBUTIVA :

$a(b + c) =( a \times b) + (a \times c) \\ a(b - c) = (a \times b) - (a \times c)$

Ejemplo con los ejercicios e, j, o y s

e)

$- x(a - {a}^{2} ) = ( - x \times a) - ( - x \times {a}^{2} ) \\ = - ax - ( - {a}^{2} x) \\ = - ax + {a}^{2} x$

j)

$\frac{1}{2} ( - 4 - \frac{1}{2} x) \\ = ( \frac{1}{2} ( - 4) ) - ( \frac{1}{2} ( \frac{1}{2} x)) \\ = ( - 2) - ( \frac{1}{4} x) \\ = - 2 - \frac{1}{4} x$

o)

${x}^{2} ( {x}^{3} + {x}^{2} + x) \\ = ( {x}^{2} \times {x}^{3} ) + ( {x}^{2} \times {x}^{2} ) + ( {x}^{2} \times x) \\ = {x}^{2 + 3} + {x}^{2 + 2} + {x}^{2 + 1} \\ = {x}^{5} + {x}^{4} + {x}^{3}$

s)

$a {x}^{2} (ax + {a}^{2} {x}^{4} ) \\ = (a {x}^{2} \times ax) + (a {x}^{2} \times {a}^{2} {x}^{4} ) \\ = ( {a}^{1 + 1} {x}^{2 + 1} ) + ( {a}^{1 + 2} {x}^{2 + 4} ) \\ = {a}^{2} {x}^{3} + {a}^{3} {x}^{6}$