II.- Productos notables en expresiones algebraicas

A continuación se proponen ejercicios sobre productos notables en expresiones algebraicas, incluyendo casos como el cuadrado de binomios y el producto de suma por diferencia. Estos ejercicios te ayudarán a practicar y reforzar la técnica de multiplicación algebraica.

261.

$\large (a+c)^{2}$

262.

$\large (x+2)^{2}$

263.

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

264.

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

265.

$\large (m+2n)^{2}$

266.

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

267.

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

268.

$\large (x-2)^{2}$

269.

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

270.

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

271.

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

272.

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

273.

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

274.

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

275.

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

276.

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

277.

$\large (m+n)(m-n)$

278.

$\large (a+2)(a-2)$

279.

$\large (x+1)(x-1)$

280.

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

281.

$\large (10d+u)(10d-u)$

282.

$\large (3a+5)(3a-5)$

283.

$\large (6x-4y)(6x+4y)$

284.

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

285.

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

286.

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

287.

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

288.

$\large (3m^{2}-5n^{2})(5n^{2}+3m^{2})$

289.

$\large (4ab-3xy)(4ab+3xy)$

290.

$\large (m+n)^{3}$

291.

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

292.

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

293.

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

294.

$\large (4+a)^{3}$

295.

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

296.

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

297.

$\large (a+5)^{3}$

298.

$\large (a+5)^{3}$

299.

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

300.

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

301.

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

302.

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

303.

$\large (x^{2}-3x+9)(x+3)$

304.

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

305.

$\large (x+a)(x+b)$

306.

$\large (x+2)(x+5)$

307.

$\large (x-5)(x-7)$

308.

$\large (x+4)(x-9)$

309.

$\large (2x-1)(2x+5)$

310.

$\large (1+8x)(1-5x)$

311.

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

312.

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

313.

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

314.

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

315.

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

316.

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

317.

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

318.

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

319.

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

320.

$\large 5a^{2}+(2a-5b+4c)^{2}-$ $\large 21b^{2}-(3a-2b^{})^{2}+8ab$

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