IV.- Efectuar las operaciones y simplificar

A continuación se proponen ejercicios para efectuar operaciones y simplificar expresiones algebraicas, centrados en aplicar adición y sustracción de términos semejantes.

165.

$\large x-[(y-z)-(u-v)]$

166.

$\large (a^{2}-ab+b^{2})-$ $\large [-(a^{2}-b^{2})-3ab]$

167.

$\large 3ab-(5ab-[7ab-(4ab)])$

168.

$\large 9x-(8y-3x)+$ $\large 7y-(2x-5z)-$ $\large 4z-(-6y+3z)$

169.

$\large (6a-5b)-(8c+4a)+$ $\large (2b+9c)-(-3b+7a)$

170.

$\large (3x^{2}-5xy+6y^{2})-$ $\large (4x^{2}-8xy-2y^{2})+$ $\large (-7x^{2}+xy-9y^{2})-$ $\large (-7x^{2}+xy-9y^{2})-$

172.

$\large 12a^{2}-(a+c)+$ $\large [3a-c-(2a+b)]-$ $\large [a+b-(4a-2b-c)]$

173.

$\large (7x^{2}-3x+4\sqrt{2})-$ $\large (3\sqrt{2}+1)+$ $\large 2x^{2}-(x-1)$

175.

$\large (2x^{3}-3ax^{2}+4a^{2}x-a^{3})-$ $\large (-x^{3}+2ax^{2}-2a^{2}x+3a^{3})+$ $\large (x^{3}+ax^{2}-6a^{2}x+2a^{3})$

176.

$\large P0=4x^{3}+2bx^{2}+5x^{5}-5x-d$

$\large P1=-3x^{4}+3cx-2d-12bx^{2}+x^{3}$

$\large P2=10x^{4}+5x^{3}-bx^{2}-2cx+14d$

Calcular:

P0 + P1 + P2; P0 – P1 + P2; P0 – P1 – P2

177.

$\large P0=10a^{3}-5a^{2}b+8ab^{2}-18b^{3}$

$\large P1=17a^{3}+14a^{2}b-12ab^{2}-3b^{3}$

$\large P2=24a^{3}-6a^{2}b+19ab^{2}-16b^{3}$

Calcular:

P1- P; P + P1 – P2

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