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256. A man walks 5 miles on a journey, rides a certain distance on a trolley car, then takes an automobile for a distance 4 times as far as he has already traveled. His total journey being 75 miles, how far does he ride in the automobile?

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311. (a-3) (a-4).

312. (x-4) (x — 6).

313. (m+7)(m — 5)

314. (c-5) (c+9). 315. (n+6) (n-7).

321. (2a+3) (3 a + 2). 322. (3 a + 4) (4 a +3). 323. (4x+5) (2x+3). 324. (6 n-5) (2 n − 3). 325. (7x-4) (3 x − 4). 326. (3 a +7) (5 a − 2). 327. (5æ+3)(4x−5). 328. (3 c+7) (5 c − 2). 329. (4 y-9)(9y+2). 330. (7x-8) (4 x + 9).

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316. (x-9)(x+8).

317. (d-8) (d+7).
318. (ac-10) (ac +5).
319. (ax-13) (ax+10).
320. (xy+11)(xy — 12).

331. (a+b+c)2.
332. (x+y+ 2)2.
333. (a+2b+c)2.
334. (x+y+82)2.
335. (m +2n+3)2.
336. (m-n-1)2.
337. (x-2y-1)2.
338. (2a-3b + 2)2.
339. (3 a+b-2c+d)2.
340. (4a-3b+2c-3)2.

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361. (m3 +n3) ÷ (m+n). 362. (c3+x3) ÷ (c + x). 363. (a3 + y3) ÷ (a + y). 364. (a3+8) ÷ (a + 2). 369. (a1 — x1) ÷ (α − x). 370. (a1-x1)+(a+x). 371. (a3 — x3) ÷ (α − x). 372. (ax)+(a + x). 373. (a1 — 16) ÷ (a − 2). 374. (a3 — 32) ÷ (a − 2). 375. (a1 − x2) ÷ (a − x). 376. (a2-128)+(a2).

365. (64+ a3) ÷ (4+a). 366. (8 a3+1) ÷ (2 a + 1). 367. (125 +27 a3) ÷ (5 + 3 a). 368. (216 a3+343)÷(6 a+7). 377. (a3+x3) ÷ (a + x). 378. (a2+x2)÷(a+x). 379. (a5+1) ÷ (a + 1). 380. (a5+32) ÷ (a + 2). 381. (1+α5x5) ÷ (1+ ax). 382. (32 a5 +1) ÷ (2 a + 1). (a+128) ÷ (a+2). 384. (32a5+x3) ÷ (2a + x).

383.

Give for each of the following a divisor and its correspond

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415. 8 a3- x9. 416. c3d3+x12. 417. ax3-y9. 418. 64 +27 yo. 419. 125 c +8. 420. 216-27 x12. 421. a11-81 y1. 422. cx+125. 423. 343 a3 — 27. 424. 512+125x. 425. 625 a8 — 1. 426. 81 a12-16.

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458. 2 a2+24 a +70. 459.2+2x2 + 3 x + 6. 460. 3x2+5x+2. 461. m + m2x2 + x1. 462. 12x2-36x+27. 463. a2x2 - 2 x − 1. 464. 6 m2-11 m +3. 465. 5a3+25 a2+30 a. 466. 4(a+x)2-9. 467. 16x256x+49. 468. 4 x44x2-4 m2 + 1.

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469. 15 c2 38 c + 11. 470. (a+1)2+5(a+1)+6. 471. 4x+36 x3 +56 x2. 472. 16 (a+1)29. 473. m2-n2 - 1+2 n.

474. 2 ax+6 a + 4 x + 12.

475. c +7 c2+16.

476. 12 y2-20 y + 3.

477. 50 23 140 x2+98 x.

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[blocks in formation]

496. 30 - 37 c2-77 c.

497. 100 cd^ +144 cd +81. 498. 25 (a+x)2-9 x2.

499. a1+a3 + a +1. 500. 5x-5 xу2+30 xy-45 x. 501. 4a2+4a - 288. 502. 56 n2+45-107 n. 503. 4a+8 a2x2+9x1. 504. (a + x)2+6 (a + x) +9. 505. 15 m2n2 - 23 mn + 4. 506. (c+x)2-7 (c+x)-30. 507. 3a2+24 a -99.

508. m2x2 - 4 x2 m2 + 4.

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511. 25 m2-9 x2+12 xy-4 y3.

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513. 169x2+100 y2 - 260 xy. 514. (m+x)2+17 (m+x) — 38. 515. 4(ax) — 9 (x + y)2. 516. 99 +39 x2y - 18 xy2. 517. 4 c59c-4c2+9. 518. 64x+87 x2y2+49 y1. 56 m2 + 8 mnx — 10 n2x2. 40xy-a2b2+x2+400 y2.

519. 520.

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538. (a+1)2+5 (a + 1) (a− 1) + 6 (a− 1)2.

539. 6(a — 4)2 — 5 (a2 — 16) + (a +4)2.

540. 6 a2-12 ax+6x2-7 a + 7 x + 1.

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