III.- Sacar factor común

A continuación se proponen ejercicios para descomponer expresiones algebraicas en factores, utilizando las técnicas de factorización aprendidas en la teoría.

400.

$\large x^{2}-xy$

401.

$\large 10x^{2}-5x$

402.

$\large 12b^{3}+8b^{2}$

403.

$\large 20m-30m^{2}$

404.

$\large 16x^{2}+12y$

405.

$\large 15a^{2}b+19ab^{2}$

406.

$\large 24x^{2}y^{3}z-40ay^{2}z^{3}$

407.

$\large 33a^{3}bc^{2}-55a^{2}b^{3}c^{4}$

408.

$\large 8a^{5}-12a^{3}+4a^{2}$

409.

$\large x^{2}yz-xy^{2}z+xyz^{2}$

410.

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

411.

$\large 24a^{3}+20a^{2}b-16ab^{2}$

412.

$\large 20m^{4}-15m^{3}+10m^{2}-5m$

413.

$\large 40ax^{4}+32a^{2}x^{3}-48a^{3}x^{2}-16a^{4}x$

414.

$\large 14a^{4}b+12a^{3}b^{2}+8a^{2}b^{4}$

415.

$\large 18a^{4}b-6a^{4}b+9a^{3}b^{2}$

416.

$\large 4(x+y)+5(x+y)$

417.

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

418.

$\large 3a(a-b)-7y(a-b)$

419.

$\large (c-d)m-(c-d)3n$

420.

$\large x(2a-b)+3y(2a-b)$

421.

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

422.

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

423.

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

424.

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

425.

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

Descomponer en factores mediante artificios:

426.

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

427.

$\large a^{2}-b^{2}$

428.

$\large x^{2}-4$

429.

$\large a^{2}+1$

430.

$\large n^{2}-9$

431.

$\large b^{2}-100$

432.

$\large 49-y^{2}$

433.

$\large 9x^{2}-y^{2}$

434.

$\large a^{2}-25b^{2}$

435.

$\large 36x^{2}-49y^{2}$

436.

$\large x^{2}-\frac{1}{9}$

437.

$\large 4x^{2}-\frac{1}{4}$

438.

$\large \frac{1}{64}-9a^{2}$

439.

$\large x^{4}-y^{2}$

440.

$\large a^{2}x^{2}-b^{4}y^{4}$

441.

$\large x^{4}-25y^{2}$

442.

$\large 81a^{4}-36b^{4}$

443.

$\large 3a^{3}-3ax^{2}$

444.

$\large 2x^{2}-162$

445.

$\large 75a^{2}-48$

446.

$\large a^{4}-1$

447.

$\large x^{4}-y^{4}$

448.

$\large n^{4}-16$

449.

$\large y^{4}-81x^{4}$

450.

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

451.

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

452.

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

453.

$\large 81-(2x-y)^{2}$

454.

$\large 64x^{2}-(8a+b)^{2}$

455.

$\large x^{2}+2x+1-y^{2}$

456.

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

457.

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

458.

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

459.

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

460.

$\large a^{2}+2ab+b^{2}+2cd-d^{2}$

461.

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

462.

$\large (3x+9y)^{2}-(2x-5y)^{2}$

463.

$\large 4(a+b)^{2}-9(x+y)^{2}$

464.

$\large 25(x+y)^{2}-16(x-y)^{2}$

465.

$\large 4a^{2}-c^{2}+4cx+4x^{2}$

466.

$\large 1-9a^{2}-b^{2}+6ab$

467.

$\large 3a^{2}-6ab+3b^{2}-12c^{2}$

468.

$\large ax+ay+bx+by$

469.

$\large a^{2}+ac-4a-4c$

470.

$\large 4ay-2by+2az-bz$

471.

$\large x^{3}+x^{2}+x+1$

472.

$\large 3a^{4}+a^{3}+15a+5$

473.

$\large a^{2}c-a^{2}d-b^{2}d+b^{2}c$

474.

$\large 4x^{3}-3c+12x^{2}-cx$

475.

$\large x^{2}+2xy+y^{2}$

476.

$\large x^{2}+4x+4$

477.

$\large n^{2}+10n+25$

478.

$\large a^{2}+12ab+36b^{2}$

479.

$\large 9x^{2}+24xy+16y^{2}$

480.

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

481.

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

482.

$\large 36m^{2}-12mn+n^{2}$

483.

$\large 4a^{2}-12ab+9b^{2}$

484.

$\large x^{2}-x+\frac{1}{4}$

485.

$\large 16a^{2}-\frac{8}{3}ab+\frac{1}{9}b^{2}$

486.

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

487.

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

488.

$\large x^{16}-y^{16}$

489.

$\large x^{6}-1$

490.

$\large ax^{3}+8ay^{3}$

491.

$\large a-b^{3}a$

492

$\large 4x^{4}+x^{3}-9x^{2}-9x$

493.

$\large a^{4}+4a^{2}b^{2}+16b^{4}$

494.

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

495.

$\large 25x^{4}-19x^{2}y^{2}+y^{4}$

496.

$\large x^{3}+9x^{2}+26x+24$

497.

$\large x^{2}+y^{2}+2xy-4a^{2}+12ab-9b^{2}$

498.

$\large (my-nx)^{2}+(mx+ny)^{2}$

Ir a las soluciones