College Algebra
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Write the given expression after isolating the common factor with the lowest power. Assume all variables belong to ℝ⁺.9a-5 +a-6
Write the given expression after isolating the common factor with the lowest power. Assume all variables belong to ℝ⁺.11d-3 +33d-9
Write the given expression after isolating the common factor with the lowest power. Assume all variables belong to ℝ⁺.13u-1/7 +15u1/7
Write the given expression after isolating the common factor with the lowest power. Assume all variables belong to ℝ⁺.7u3/5 -8u-2/5
Write the given expression after isolating the common factor with the lowest power. Assume all variables belong to ℝ⁺.11u-3/16 -12u-19/16
Write the given expression after isolating the common factor with the lowest power. Assume all variables belong to ℝ⁺.7u-2/7 -35u-9/7
Write the given expression after isolating the common factor with the lowest power. Assume all variables belong to ℝ⁺.(5q+2)-2/5 +(5q+2)3/5 +(5q+2)8/5
Write the given expression after isolating the common factor with the lowest power. Assume all variables belong to ℝ⁺.3(5p+2)-2/5 +9(5p+2)3/5 +12(5p+2)8/5
Write the given expression after isolating the common factor with the lowest power. Assume all variables belong to ℝ⁺.13(2w+7)-7/4 +26(2w+7)-3/4 -52(2w +7)1/4
Write the given expression after isolating the common factor with the lowest power. Assume all variables belong to ℝ⁺.26p(2p +5)-5/13 +13p2(2p +5)8/13 +39p3(2p +5)21/13
Write the given expression after isolating the common factor with the lowest power. Assume all variables belong to ℝ⁺.10k3(3k -2)-2/5 -15k2(3k -2)3/5 +25k(3k -2)8/5
Factor the following polynomial with real coefficients:361a2 - 1/225
Factor the following polynomial with real coefficients:(289/196)a4 -144b2
Solve for the appropriate value(s) of a that will transform the polynomial 9t2 +at +49 into a perfect square.
Solve for the appropriate value(s) of a that will transform the polynomial 121t2 -88t +a into a perfect square.
Solve for the appropriate value(s) of a that will transform the polynomial 441p2 +84p +a into a perfect square.
Factor the following expression:
(m - 6)(7m - 11) + (2m - 7)(7m - 11)
7(b + 2)3 - 3(b + 2)2 + 11(b + 2)
9(k - 4) - 3(k - 4)2 + 13(k - 4)3
Use grouping to factor the following polynomial:
15x2 - 24x - 25x + 40
2ab - 9b - 6a + 27
8m6 + 56 - m6n - 7n
63a2 - 27b + 7a2c - 3bc
Factor the following polynomial:
6h2 - 13h - 5
7x2 + 5x - 3
Factor and simplify the following algebraic expression which involves negative exponents: -6(2x+1)-4 + 15(5x+2)(2x + 1)-3
Determine the greatest common factor and factor it out from the given expression: 12x + 30
Factor the given polynomial completely, or categorize the polynomial to be prime if doesn't get factorized furthermore.
100 - 4x2
Determine the greatest common factor and factor it out from the given expression: 5x4 - 15x3 + 45x2
Which of the following is the factored form of a2 - 24ab + 144b2?
Show the complete factorization of 16m4 - 81.
Show the complete factorization of 729z3 + 125.
35k + 77
Using absolute value find out the distance between -13 and 10. Then find the absolute value.
Factor the following expression by grouping: x3 - 7x2 + 5x - 35
9z4 + 63z
Factor the following expression by grouping: x3 + 6x2 - 8x - 48
17mn2 + mn
st - 21s2t
32a4b3 + 8a3b7
x2 - 8x + 15
Simplify: 9x(3 + 1/x) - 6x
Simplify: (2/7)(21x) + [(4y) + (-16y)(1/4)] - (-6x)
39(c + d) - 13a(c + d)
21a(m + n) + 27b(m + n)
(8y - 3)(1 + y) - (3y - 2)(1 + y)
17x2 - 32x + 15
Use grouping method of factoring in order to write the complete factorization of the following polynomial.
10x3y6 - 16x5y10
Factor the given polynomial or identify if it is prime: 8x2 - 6xy - 2y2
Factor the following expression: x2 - 169
8x3 + 2x2 - 21x
Factor the following expression: 49x2 − 121
14p2 - 19pq - 3q2
2x2 + xy - 21y2
5x2 - 12xy - 9y2
Factor the given trinomial which is a perfect square: x2 + 8x + 16
81x4 + 63x3y - 30x2y2
49u2 - 56u + 16
75a2 + 180ab + 108b2
9m2n2 + 48mn + 64
81a2b2 + 198ab + 121
Factor the given trinomial which is a perfect square: 16x2 - 24x + 9
(3u - v)2 - 18(3u - v) + 81
Factor the given expression that shows sum of two cubes: x3 + 125
Completely factor the following difference of squares. 16k2 - 121
Factor the given expression that shows difference of two cubes: x3 - 64
Completely factor the following difference of squares. w2 - 196
Completely factor the following difference of squares. q2 - 49
Completely factor the following difference of squares. 169k4 - 81p2
Completely factor the following difference of squares. 64m2 - 225n4
Factor the given expression that shows sum of two cubes: 27x3 + 64
Completely factor the following difference of squares. (g + h)2 - 9
Completely factor the following difference of squares. (3m - 5n)2 - 225
Factor the given polynomial completely or indicate that it is prime: 3x3 - 48x
Factor the given polynomial completely or indicate that it is prime: 3x4 - 48
Completely factor the following difference of squares. u2 - v2 + 42v - 441
25d2 - e2 - 14e - 49
125 - b3
1331 - m3
343q3 - 8
8a12 + 125b15
Factor the given polynomial completely or indicate that it is prime: x3 + 3x2 - 16x - 48
(p + 6)3 - 8
343 - (m - 3a)3
6(2x + 3)2 - 5(2x + 3) - 6
16(a + 6)2 + 56(a + 6) + 49
Factor the given polynomial completely or indicate that it is prime: x2 - 6x + 9 - 16y2
36(3u - 7)2 + 108(3u - 7) + 81
(a + 3)3 + 64
(u - 3)3 + 125
(4a - 5)3 - 1
8x4+2x
m4 - 4m2 - 21
b4 - 3b2 - 28
15b4 + 22b2 - 5
(3x - 2)2 - 10(3x - 2) + 25
x2 - 2xy + 4x - 8y
a4(2x - 5y) + b(2x - 5y)
Factor and simplify the following algebraic expression which involves fractional exponents: (x + 1)-1/5 - (x + 1)-6/5
25a2 + 140a + 196
Factor the following expression completely: 3x4 + 13x2 - 10
Perform factorization and simplify given expression : 33 x-1/6 + 99 x2/3
q2 + 12q + 36 - 4p2
512 + (4b + 9)3
Perform factorization and simplify the given expression : 44x-1/3 + 22x-5/3
(5m + 4n)3 - (5m - 4n)3
(5a + 7)2 - 26(5a + 7) + 169
(2a + 3b)2 - (2a - 3b)2
7z4 - 31z2 - 20
Completely factor: x3 - 5x2 - 9x + 45