I.- Multiplicación de expresiones algebraicas

A continuación se proponen ejercicios para practicar la multiplicación de expresiones algebraicas, aplicando las reglas de producto y la combinación de términos semejantes.

Las soluciones de estos ejercicios están disponibles en la página de soluciones.

190.

$\large 5a^{2}\; .\; 4$

191.

$\large 12a^{3}b^{2}\; .\; 4$

192.

$\large 15x^{2}\; .\; 7$

193.

$\large 8ab\; .\; c$

194.

$\large -5a^{2}\; .\; 3b$

195.

$\large 12x^{2}y\; .\; 5z$

196.

$\large 10a^{2}b^{2}\; .\; 4c^{3}$

197.

$\large b^{3}\; .\; b^{2}$

198.

$\large 2a^{2}\; .\; 5a^{4}$

199.

$\large 3x\; .\; 8x^{3}$

200.

$\large a^{3}\; .\; a\; .\; a^{4}$

201.

$\large b\; .\; b^{2}\; .\; b^{3}$

202.

$\large x\; .\; x^{2}\; .\; x^{3}\; .\; x^{4}$

203.

$\large 4x^{m}\; .\; 8$

204.

$\large 3a^{m}b^{n}\; .\; 5$

205.

$\large 5x^{2n}\; .\; 2y^{m}$

206.

$\large x^{2}y\; .\; xy^{2}z$

207.

$\large 6ab^{2}\; .\; 5a^{2}c$

208.

$\large 12x^{2}z^{3}\; .\; 4xy^{2}$

209.

$\large 12x^{2}z^{3}\; .\; 4xy^{2}$

210.

$\large 4a^{3}b^{2}\; .\; 3a^{2}bc^{2}$

211.

$\large 8x^{2}y\; .\; (-4xy^{2})$

212.

$\large (-3ab)\: .\; 2a^{2}b^{3}$

213.

$\large (-5xy^{3})\: .\: (-12x^{2}y)$

214.

$\large ab^{2}\: .\: a^{2}b^{3}\; .\; a^{3}b$

215.

$\large 3x^{2}\: .\: 5xy^{2}\: .\: 4xy$

216.

$\large 3x^{2}\: .\: 5xy^{2}\: .\: 4xy$

217.

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

218.

$\large 8a^{3}b^{2}c(2a^{2}b^{3})(-5ac^{2})$

219.

$\large (-8x^{2}y)(-4axy^{2})$ $\large (3aby^{3})(-2bxy)$

220.

$\large (-5a^{2}y)(-4by^{2})$ $\large (-3abx^{2})(-2x^{2}y^{2})$

221.

$\large ac^{2}(\frac{3}{4}\: ab^{2}c)$

222.

$\large x^{2}y(\frac{2}{5}\: x^{3}y^{2})$

223.

$\large \frac{1}{2}\: a^{2}b(\frac{3}{4}\: a^{2}b^{5})$

224.

$\large \frac{3}{4}\: a^{2}b(8a^{3}b^{2})$

225.

$\large \frac{2}{5}\: x^{3}y^{2}\: .\: \frac{5}{7}\: x^{2}y$

226.

$\large \frac{4}{3}\: a^{3}b^{2}c\: .\: 2a^{2}bc$

227.

$\large \frac{3}{4}\: ab^{2}\: .\: \frac{4}{5}\: b^{3}c\: .\: \frac{5}{3}\: ac$

228.

$\large \frac{2}{3}\: x^{2}\: .\: \frac{4}{5}\: ay^{2}\: .\: \frac{3}{2}\: x^{2}y^{2}$

229.

$\large \frac{3}{4}\: a^{2}b\: .\: (-4ab^{2})\: .\: 2ax$

230.

$\large 3ab^{2}x^{2}.(-7ab).(-4a^{3}x).\frac{2}{5}abx$

231.

$\large \frac{2}{3}x^{2}yz^{3}.\frac{9}{10}y^{3}z$

232.

$\large (x^{2}-y^{2})xy^{3}$

233.

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

234.

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

235.

$\large (-xy)(x^{3}y^{3})$

236.

$\large 2xy(4xy-2x+3z)$

237.

$\large (-6x^{2}y^{3}z).$ $\large (-3x^{3}y^{2}+5x^{2}y-4x)$

238.

$\large (4x^{3}z^{2}-3x^{2}a^{5}+6yza^{4}).$ $\large (-5x^{7}a^{6}z)$

239.

$\large (m^{3}-3m^{2}n+3mn^{2}-n^{3}).$ $\large (4m^{2}n^{2})$

240.

$\large (5a^{2}b-\frac{3}{4}a^{2}b^{2})8ab$

241.

$\large (5x^{3}-\frac{2}{3}x^{2}y+\frac{3}{4}xy^{2}-\frac{1}{5}y^{3}).$ $\large (\frac{3}{5}x^{2}y^{2})$

242.

$\large (\frac{2}3{}ax^{3}-\frac{3}{5}bx^{2}+\frac{4}{7}cx+\frac{1}{2}d)$ $\large (\frac{3}{4}a^{2}bx^{2})$

243.

$\large (x^{2}-2xy+y^{2})(x-y)$

244.

$\large (x^{4}+x^{2}y^{2}+y^{4})(x^{2}-y^{2})$

245.

$\large (3a^{2}x-5y^{3})(3a^{2}x+5y^{3})$

246.

$\large (2x^{2}-x-1)(4xy-3y)$

247.

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

248.

$\large (5x^{4}y^{3}+3x^{3}y^{4}-2x^{2}y^{5})$ $\large (x^{2}-y^{2})$

249.

$\large (x^{m}+x^{m-1}y+x^{m-2}y^{2}+...+y^{m})$ $\large (x-y)$

250.

$\large (5xy+3xz-z^{2})$

251.

$\large (7a^{2}-3a^{2}b-ab^{2})$ $\large (2a^{2}-3ab+2b^{2})$

252.

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

253.

$\large (4x^{4}-5ax^{3}+3a^{2}x^{2}-2a^{4})$ $\large (3a^{2}x^{3}-5a^{3}x^{2}-3a^{5})$

254.

$\large (\frac{2}{3}x^{2}-\frac{5}{6}xy+\frac{1}{5}y^{2})$ $\large (\frac{3}{4}x^{2}+\frac{3}{2}xy-\frac{5}{3}y^{2})$

255.

$\large (\frac{1}{4}a^{2}+\frac{3}{5}ab-6b^{2})$ $\large (\frac{5}{3}a^{2}-2ab+\frac{1}{3}b^{2})$

256.

$\large (\frac{1}{4}a^{2}+\frac{3}{5}ab-6b^{2})$ $\large (\frac{5}{3}a^{2}-2ab+\frac{1}{3}b^{2})$

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