Answer:
1. k^2+2k-24
1A. (k - 4) (k + 6)
2. 4k^2-1
2A. (2k + 1) (2k - 1)
3. 25b^2-30b+9
3A. (5b - 3)^2
4. x^2+11x+28=0
4A. x = (-4) OR (-7)
5. (3a+8)(3a^2-a-7)
5A. 9a^2 + 21a^2 - 29a - 56
Step-by-step explanation:
1. k^2+2k-24
Factor using the AC factoring method.
k^2 = 2k
2k + 2k - 24
(k - 4) (k +6)
2. 4k^2-1
Use the Difference of Squares Formula: a^2 - b^2 = (a + b)(a - b)
2k = a
1 = b
(2k + 1)(2k - 1)
3. 25b^2-30b+9
Use the perfect square rule
(5b - 3)(5b - 3)
(5b - 3)^2
4. x^2+11x+28=0
Factor, by setting each factor equal to 0
x^2+11x+28=0
(x + 4)(x + 7) = 0
x = (-4) OR (-7)
5. (3a+8)(3a^2-a-7)
Simply, multiply each term in the first expression by each term in the second expression, and then simplify.
(3a+8)(3a^2-a-7)
9a^2 + 21a^2 - 29a - 56
Answer:
Step-by-step explanation:
(![\sqrt[3]{x^{2} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E%7B2%7D%20%7D)
× ![\sqrt[6]{x^{4}}](https://tex.z-dn.net/?f=%5Csqrt%5B6%5D%7Bx%5E%7B4%7D%7D)
)⁻³
is the same thing as 
you can think of the numerator as the power and the denominator as the root
rewrite both terms:
( × 
)⁻³
simplify the 4/6:
( × )⁻³
bases are the same, add the exponents:
(
)⁻³
multiply the exponents:
simplify:
x⁻⁴
negative power rule:
Answer:
2
Step-by-step explanation:
Answer:
{r,z}
Step-by-step explanation:
U = {r,s,t,u,v,w,x,y,z}
P = {s,t,u,v,w}
Q = {u,v,x,y}
P' means elements in the universe,U, that are not in P.
P'={r,x,y,z}.
Q' means elements in the universe,U, that are not in Q.
Q'={r,s,t,w,z}.
P' intersect Q' means what elements are in common in both lists.
{r,z}
