III.- Quitar paréntesis y reducir

A continuación se proponen ejercicios para quitar paréntesis y reducir expresiones algebraicas, enfocados en aplicar las reglas de signos y combinar términos semejantes.

150.

$\large (8a-b+c)+$ $\large (9a+3b-4c)-$ $\large (5a-2b-8c)$

151.

$\large (a+3x)-$ $\large (a-x)+$ $\large (2a+x)-$ $\large (3a+4x)$

152.

$\large (a+x)-$ $\large (a+2x)+$ $\large (a+3x)-$ $\large (a-4x)$

153.

$\large x^{4}-(x^{3}-4a^{3})-$ $\large (x^{3}+3ax^{2}+a^{2}x+a^{3})$

154.

$\large (3a^{2}-7ax+2x^{2})-$ $\large (a^{2}+2ax-x^{2})-$ $\large (-7ax+3x^{2})$

155.

$\large a^{2}+b^{2}+2ab-$ $\large (a^{2}-2ab+b^{2})-$ $\large (a^{2}-b^{2})$

156.

$\large 6x^{2}-(3xy+2xz)-$ $\large (2xz-3xy)+$ $\large (5xz-7x^{2})$

157.

$\large 2p-(p-a)+$ $\large 2p-(p-b)+$ $\large 2p-(p-c)$

158.

$\large 2ac+(-2ab-4d)-$ $\large (ab+d+4ac)$

159.

$\large 9m-(5n+2p)+$ $\large 9n-(5p+2m)+$ $\large 9p-(5m+2n)$

160.

$\large (\frac{1}{3}\, ax-\frac{1}{2}\, b)-$ $\large (\frac{1}{2}\, ax+\frac{1}{3}\, b)-$ $\large (\frac{1}{6}\, b-\frac{1}{6}\, ax)$

161.

$\large (8\, \frac{1}{2}a^{2}c-7b^{2})-$ $\large (3\, \frac{3}{4}a^{2}c-2\, \frac{1}{2}b^{2})-$ $\large (3\, \frac{1}{2}a^{2}-4\, \frac{1}{2}\, b^{2})$

162.

$\large a-b+c-$ $\large [2a-(b-3c)]$

163.

$\large 5a-[3a-(2a+4b)]$

164.

$\large 6a-[4b-(4a+4b-6a)]$

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