42. g^2+2g-7g-14= g(g+2)-7(g+2) = (g-2)(g+7)
44. 6k^2-6kL-4kL+4L^2= 6k(k-L)-4L(k-L)= (6k-4L)(k-L)
46. r^2-4r+10r-40 = r(r-4)+10(r-4)= (r+10)(r-4)
48. t^2-3t-10t-30 = t(t-3)-10(t-3)= (t-10)(t-3)
50. 3x^2-3x+6x-6 = 3x(x-1)+6(x-1) = (3x+6)(x-1)
REALLY hoping this helps bc this took me some time
Answer:
994
Step-by-step explanation:
10^3-6=994
Given that (p - 1/p) = 4, the value of p² + 1/p² is 18. Detail below
<h3>Data obtained from the questio</h3>
- (p - 1/p) = 4
- p² + 1/p² = ?
<h3>How to determine the value of p² + 1/p²</h3>
(p - 1/p) = 4
Square both sides
(p - 1/p)² = (4)²
(p - 1/p)² = 16 ....(1)
Recall
(a - b)² = a² + b² - 2ab
Thus,
(p - 1/p)² = p² + 1/p² - (2 × p × 1/p)
(p - 1/p)² = p² + 1/p² - 2
From equation (1) above,
(p - 1/p)² = 16
Therefore,
p² + 1/p² - 2 = 16
Rearrange
p² + 1/p² = 16 + 2
p² + 1/p² = 18
Thus, the value of p² + 1/p² is 18
Learn more about algebra:
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