Solución: Sacar factor común

A continuación se muestra las soluciones de los ejercicios de sacar el factor común de las expresiones dadas:

400.

$\large x(x-y)$

401.

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

402.

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

403.

$\large 10m(2-3m)$

404.

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

405.

$\large ab(15a+19b)$

406.

$\large 8xy^{2}z(3xy-5z^{2})$

407.

$\large 11a^{2}bc^{2}(3a-5b^{2}c^{2})$

408.

$\large 4a^{2}(2a^{3}-3a+1)$

409.

$\large xyz(x-y+z)$

410.

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

411.

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

412.

$\large 5m(4m^{3}-3m^{2}+2m-1)$

413.

$\large 8ax(5x^{3}+4ax^{2}-6a^{2}x-2a^{3})$

414.

$\large 2a^{2}b(7a^{2}+6ab+4b^{3})$

415.

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

416.

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

417.

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

418.

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

419.

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

420.

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

421.

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

422.

$\large (ab-c)(x^{2}y+1)$

423.

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

424.

$\large (a+b)2a$

425.

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

426.

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

427.

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

428.

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

429.

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

430..

$\large (n+3)(n-3)$

431.

$\large (b+10)(b-10)$

432.

$\large (7+y)(7-y)$

433.

$\large (3x+y)(3x-y)$

434.

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

435.

$\large (6x-7y)(6x+7y)$

436.

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

437.

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

438.

$\large (\frac{1}{8}+3a)(\frac{1}{8}-3a)$

439.

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

440.

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

441.

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

442.

$\large (9a^{2}+6b^{2})(9a^{2}-6b^{2})$

443.

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

444.

$\large 2(x+9)(x-9)$

445.

$\large 3(5a+4)(5a-4)$

446.

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

447.

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

448.

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

449.

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

450.

$\large (x+y+z)(x+y-z)$

451.

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

452.

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

453.

$\large (9+2x-y)(9-2x+y)$

454.

$\large (8x+8a+b)(8x-8a-b)$

455.

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

456.

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

457.

$\large (x+y-2)(x-y-2)$

458.

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

459.

$\large (a+b+c+b)(a+b-c-d)$

460.

$\large (a+b+c-d)(a+b-c+d)$

461.

$\large (4a-3)(9-2a)$

462.

$\large (5x+4y)(x+14y)$

463.

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

464.

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

465.

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

466.

$\large (1+3a-b)(1-3a+b)$

467.

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

468.

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

469.

$\large (a+c)(a-4)$

470.

$\large (2a-b)(2y+z)$

471.

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

472.

$\large (3a+1)(a^{3}+5)$

473.

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

474.

$\large x(4x^{2}-c)+3(4x^{2}-c)=$ $\large (4x^{2}-c)(x+3)$

475.

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

476.

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

477.

$\large (n+5)(n+5)$

478.

$\large (a+6b)(a+6b)$

479.

$\large (3x+4y)(3x+4y)$

480.

$\large (a-b)(a-b)$

481.

$\large (x-2y)(x-2y)$

482.

$\large (6m-n)(6m-n)$

483.

$\large (2a-3b)(2a-3b)$

484.

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

485.

$\large (4a-\frac{1}{3}b)(4a-\frac{1}{3}b)$

486.

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

487.

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

488.

$\large (x-y)(x+y)(x^{2}+y^{2})$ $\large (x^{4}+y^{4})(x^{8}+y^{8})$

489.

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

490.

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

491.

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

492.

$\large x(x+1)(x+3)(x-3)$

493.

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

494.

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

495.

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

496.

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

497.

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

498.

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

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