College Algebra
Use grouping method of factoring in order to write the complete factorization of the following polynomial.
10x3y6 - 16x5y10
Factor the following expression:
343 - (m - 3a)3
8 - (3c + d)3
Factor the following polynomial:
7z4 - 31z2 - 20
(5m + 4n)3 - (5m - 4n)3
(2a + 3b)2 - (2a - 3b)2
(5a + 7)2 - 26(5a + 7) + 169
512 + (4b + 9)3
q2 + 12q + 36 - 4p2
1331a3 + 729b3
25a2 + 140a + 196
a4(2x - 5y) + b(2x - 5y)
x2 - 2xy + 4x - 8y
(3x - 2)2 - 10(3x - 2) + 25
15b4 + 22b2 - 5
b4 - 3b2 - 28
m4 - 4m2 - 21
(p + 6)3 - 8
(2u - 3)3 - 27
(4a - 5)3 - 1
8a12 + 125b15
(u - 3)3 + 125
(a + 3)3 + 64
36(3u - 7)2 + 108(3u - 7) + 81
16(a + 6)2 + 56(a + 6) + 49
6(2x + 3)2 - 5(2x + 3) - 6
343q3 - 8
1331 - m3
125 - b3
25d2 - e2 - 14e - 49
(8y - 3)(1 + y) - (3y - 2)(1 + y)
21a(m + n) + 27b(m + n)
(6p + 7q)2 - 24(6p + 7q) + 144
(3u - v)2 - 18(3u - v) + 81
81a2b2 + 198ab + 121
9m2n2 + 48mn + 64
75a2 + 180ab + 108b2
49u2 - 56u + 16
81x4 + 63x3y - 30x2y2
5x2 - 12xy - 9y2
4s2 - 23st + 15t2
2x2 + xy - 21y2
14p2 - 19pq - 3q2
8x3 + 2x2 - 21x
Completely factor the following difference of squares. u2 - v2 + 42v - 441
Completely factor the following difference of squares. h2 - 20h + 100 - k2
Completely factor the following difference of squares. (3m - 5n)2 - 225
Completely factor the following difference of squares. (g + h)2 - 9
Completely factor the following difference of squares. 64m2 - 225n4
Completely factor the following difference of squares. 169k4 - 81p2
Completely factor the following difference of squares. q2 - 49
Completely factor the following difference of squares. w2 - 196
Completely factor the following difference of squares. 16k2 - 121
39(c + d) - 13a(c + d)
6t3v7 - 15t6v7 + 30t3v9
32a4b3 + 8a3b7
st - 21s2t
17mn2 + mn
9z4 + 63z
35k + 77
Show the complete factorization of 729z3 + 125.
Show the complete factorization of 16m4 - 81.
Which of the following is the factored form of 64c3 + 343?
Which of the following is the factored form of a2 - 24ab + 144b2?
Completely factor: x3 - 5x2 - 9x + 45
Factor the following expression completely: 3x4 + 13x2 - 10
Factor and simplify the following algebraic expression which involves fractional exponents: (x + 1)-1/5 - (x + 1)-6/5
Factor and simplify the following algebraic expression which involves fractional exponents: (x - 2)1/4 - (x - 2)5/4
Factor and simplify the following algebraic expression which involves fractional exponents: x - x1/3
Factor the given polynomial completely or indicate that it is prime: x2 - 6x + 9 - 16y2
Factor the given polynomial completely or indicate that it is prime: 5x2 + 15x - 20
Factor the given polynomial completely or indicate that it is prime: x3 + 3x2 - 16x - 48
Factor the given polynomial completely or indicate that it is prime: 3x4 - 48
Factor the given polynomial completely or indicate that it is prime: 3x3 - 48x
Factor the given expression that shows sum of two cubes: 27x3 + 64
Factor the given expression that shows difference of two cubes: x3 - 64
Factor the given expression that shows sum of two cubes: x3 + 125
Factor the given trinomial which is a perfect square: 16x2 - 24x + 9
Factor the given trinomial which is a perfect square: 9x2 + 12x + 4
Factor the given trinomial which is a perfect square: x2 - 18x + 81
Factor the given trinomial which is a perfect square: x2 + 8x + 16
Factor the following expression: 49x2 − 121
Factor the following expression: x2 - 169
Factor the given polynomial or identify if it is prime: 8x2 - 6xy - 2y2
Factor the given polynomial or identify if it is prime: 4x2 + 5xy + y2
Factor the following expression by grouping: x3 + 6x2 - 8x - 48
Factor the following expression by grouping: x3 - 7x2 + 5x - 35
Determine the greatest common factor and factor it out from the given expression: x(7x+3) + 8(7x+3)
Determine the greatest common factor and factor it out from the given expression: 5x4 - 15x3 + 45x2
Determine the greatest common factor and factor it out from the given expression: 12x + 30
Simplify: (2/7)(21x) + [(4y) + (-16y)(1/4)] - (-6x)
Simplify: 9x(3 + 1/x) - 6x
Using absolute value find out the distance between -13 and 10. Then find the absolute value.
Perform factorization and simplify the given expression : 44x-1/3 + 22x-5/3
Perform factorization and simplify given expression : 33 x-1/6 + 99 x2/3
Factor the given polynomial completely, or categorize the polynomial to be prime if doesn't get factorized furthermore.
7x6 - 28x4
17x2 - 32x + 15
100 - 4x2
x2 - 8x + 15
8x4+2x