Algebra De Baldor

15x4 - 17x² - 4

(15x²) - 17(15x²) - 60

(15x² - 20) (15x² + 3)/ 3 x 5

(3x² - 4)(5x² + 1) R/ (3x² - 4)(5x² + 1)

1 + (a - 3b)³

1 + a³ - (3b)³

(1 + a - 3b)(1 - a + 3b + a² - 2a(3b) - 9b²) R/ (1 + a - 3b)(1 - a + 3b + a² - 6ab - 9b²)

x4 + x² + 25

(x² + x + 5)(x² - x + 5) R/ (x² + x + 5)(x² - x + 5)

a8 - 28a4 + 36

(a4 - 4a² + 6)( a4 - 4a² - 6) R/ (a4 - 4a² + 6)( a4 -4a² - 6)

343 + 8a³

8a³ + 343

(2a + 7)[(2a)² - 2(7a) + (7)²]

(2a + 7)(4a² - 14a + 49) R/ (2a + 7) (4a² - 14a + 49)

12a²bx - 15a²by

(3a²b)(4x - 5y) R/ (3a²b)(4x - 5y)

x² + 2xy - 15y²

(x - 3y)(x + 5y) R/ (x - 3y)(x + 5y)

6am - 4an - 2 n + 3m

81a6 - 4b2c8

16 -(2a + b)²

16 - 4a² + b²

(4 + 2a + b) (4 - 2a - b) R/ (4 + 2a + b)( 4 - 2a - b)

20 - x -x²

-x² -x + 20 (-1)

x² + x - 20

(x + 5)(x - 4) R/ (x + 5)(x - 4)

n² + n - 42

(n + 7)(n - 6) R/ (n + 7)(n - 6)

a² - d² + n² - c² - 2an - 2cd R/ (a - n + c + d)(a - n - c - d)

1 + 216x9

(1 + 6x³)(1 - 2(1)(6x³) + (6x³)²)

(1 + 6x³)(1 - 12x³ + 36x6) R/ (1 + 6x³)(1 - 12x³ + 36x6)

x³ - 64

(x - 4)(x² - 2(x)(4) + (4)²)

(x - 4)(x² - 8x + 16) R/ (x - 4)(x² - 8x + 16)

x³ -64x4

x³(1 - 64x) R/ x³(1 - 64x)

18ax5y3 - 36x4y3 - 54x2y8

18x²y³(ax³ - 2x² - 3y5) R/ 18x²y³(ax³ - 2x² - 3y5)

49a²b² - 14ab + 1

7ab 1

(7ab - 1)² R/ (7ab - 1)²

(x + 1)² - 81

x² + 2x + 1 - 81

(x - 8)(x + 10) R/ (x - 8)(x + 10)

a² - (b + c)²

a² - b² + c²

(a - b - c)(a + b + c) R/ (a + b + c)(a - b - c)

(m + n)² - 6 (m + n) + 9

m+n 3

(m + n - 3) (m + n -3) R/(m + n - 3)²

7x² + 31x - 20

7(7x²) - 7(31x) - 20 (7)

7x² - 31(7x) - 140

(7x + 35)(7x - 4)/1 x 7

(x + 5)(7x - 4) R/ (x + 5)(7x - 4)

9a³ + 63a - 45a²

9a³ - 45a² + 63ª

9a (a² - 5ª + 7) R/ 9a (a² - 5a + 7)

ax + a - x -1

(a - 1)(x + 1) R/ (a - 1)(x + 1)

81x4 + 25y2 - 90x²y

9x² 5y

(9x² - 5y)(9x² - 5y)

(9x² - 5y)² R/ (9x² - 5y)²

1 - 25b² + b4

1-5b+b²

(1 - 5b - b²)(1 + 5b - b²) R/ - 5b - b²)(1 + 5b - b²)

m4 + m2n2 + n4

m² mn n²

(m² + mn + n²)(m² - mn - n²) R/ (m² + mn + n²)(m² - mn - n²)

c4 - 4d4

c² 2d²

(c² + 2d²)( c² - 2d²) R/ (c² + 2d²)( c² - 2d²)

15x4 -15x³ + 20x²

5x²(3x² - 3x + 4) R/ 5x²(3x² - 3x + 4)

a² - x² - a - x

(a + x)(a - x - 1) R/ (a + x)(a - x - 1)

x4 - 8x² - 240

(x² - 20 )(x² + 12)8 240 2

4 120 2

2 60 2

1 30 2

15 3

5 5

1 R/ (x² + 12)(x² - 20)

6m4 + 7m² - 20

(2m² + 12 )(3m² - 4) R/ (2m² + 12)(3m² - 4)

9n² + 4a² - 12an

9n² - 12 an + 4a²

3n 2a

(3n - 2a)² R/ (3n - 2a)²

2x² + 2

2(x² + 1) R/ 2(x² + 1)

7a (x + y -1) - 3b(x + y - 1)

(7a - 3b)(x + y - 1) R/ (x + y - 1)(7a - 3b)

x² + 3x - 18

(x + 6)(x - 3) R/ (x + 6)(x - 3)(a + m)² - (b + n)²

(a + m)(a + m) + (-b - n)(b + n) R/ (a + m + b + n)(a + m - b - n)

x³ + 6x²y + 12xy² + 8y³

(x + 2y)(x + 2y)² R/ (x + 2y)³

8a² - 22a - 21

(4a + 3)(2ª - 7) R/ (4a + 3)(2a -7)

1 + 18ab + 81a²b²

(9ab)² + 2(9ab) + 1

(9ab + 1)(9ab + 1) R/ (1 + 9ab)²

4a6 - 1

2a³ 1

(2a³ + 1)(2a³ - 1) R/ (2a³ + 1)( 2a³ - 1)

x6 - 4x³ - 480

(x³ - 24)(x³ + 20)R/ (x³ - 24)(x³ + 20)

ax - bx + b - a - by + ay

x(a - b)+y(a - b)-1(a - b) R/ (a - b)(x + y - 1)

6am - 3m -2a +1

3m(2a - 1) - 1(2a - 1) R/ (3m - 1)(2a - 1)

15 + 14x - 8x²

-8x² + 14x + 15

(4x + 3)(-2x + 5) R/ (3 + 4x)(5 - 2x)

a10 - a8 + a6 + a4

a4(a6 - a4 + a² + 1) R/ a4(a6 - a 4 + a² +1)

2x(a - 1)- a + 1

2ax - 2x - a + 1

a(2x - 1)-1(2x - 1) R/ (2x - 1)(a- 1)

(m + n)(m - n) + 3n(m - n)

m - n[m + n + 3n]

(m - n)(m + 4n) R/ (m + 4n)(m - n)

a² - b³ + 2b³x² - 2a²x²

a² - 2a²x² - b³ + 2b³x²

a²(1 - 2x²) - b³(1 - 2x²)

(a² - b³)(1 - 2x²) R/ (a² - b³)(1- 2x²)

2am - 3b - c - cm - 3bm + 2a

m(2a - c - 3b)+ 1(2a - 3b - c) R/ (m + 1)(2a - 3b - c)

x² - 2/3x + 1/9

(x - 1/3)(x + 1/3) R/ (x - 1/3)²

4a2n - b4n

(2ªn + b2n)...