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rjkz [21]
3 years ago
11

HCF of (a^3+b^3 ) & (a^4+a^2b^2+b^4)?

Mathematics
2 answers:
VashaNatasha [74]3 years ago
8 0

Answer:

a^2-ab+b^2

Step-by-step explanation:

factorize both of them.

jenyasd209 [6]3 years ago
3 0

Answer:

Step-by-step explanation:

Remember:

a^3+b^3=(a+b)(a^2-ab+b^2)\\

a^3+b^3=(a+b)(a^2-ab+b^2)\\\\\\a^4+a^2b^2+b^4=a^4+2a^2b^2+b^4-a^2b^2\\\\=(a^2+b^2)^2-a^2b^2\\\\=(a^2+b^2-ab)(a^2+b^2+ab)\\\\HCF=a^2+b^2-ab\\

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Which graph best represents a function with range -4 ≤ y ≤ 3?
xz_007 [3.2K]

Answer:

circle graph

Step-by-step explanation:

7 0
3 years ago
Ivan's favorite colors are \blue{\text{blue}}blue and \green{\text{green}}green. He has \blue{\text{1 blue shirt}}1 blue shirt,
Ivan

Answer:

P(A or B) = 2/3                      

Step-by-step explanation:

Blue Garments = 1 blue shirt, 1 blue hat, 1 blue pair of pants

Total blue garments = 3

Green garments= 1 green shirt, 1 green hat, 1 green pair of pants

Total green garments = 3

Total no. of garments = blue garments +green garments = 6

A = event that Ivan selects a green garment

P(A) = Favourable outcomes/Total no. of outcomes

P(A)    = 3/6

B = event that Ivan chooses a pair of pants

P(B) = 2/6

We need to find P(A or B) = P(A∪B)

By formula, P(A∪B) = P(A)+P(B)-P(A∩B)

P(A∩B) = Probability that a green pair of pant is chosen = 1/6

P(A∪B) = 3/6+2/6-1/6

           = 4/6

           =2/3

5 0
3 years ago
A fruit seller purchased 20 kg of apples at Rs 80 per kg and sold them at Rs 85 per kg. find profit and profit percent​
Vesna [10]

Answer:

Profit = Rs 100

Profit %age = 6.25%

Step-by-step explanation:

Cost Price = Rs 80

Cost Price for 20 kg = Rs 1600

Selling Price = Rs 85

<u><em>Profit for 1 kg</em></u> = Rs 85 - Rs 80

=> Rs 5 (For 1 Kg)

<u><em>Profit for 20 kg:</em></u>

=> Rs 5*20

=> Rs 100

<u><em>Now Profit %age:</em></u>

=> \frac{100}{1600}* 100

=> 0.0625 * 100

=> 6.25%

4 0
3 years ago
Read 2 more answers
You can jog around the block twice and the park once in 10 min. You can jog around the block twice and the park 3 times in 22 mi
stich3 [128]
B = block     p = park

2b + p = 10 min                2 runs around the block takes 10 minutes
2b + 3p = 22 min        2 runs around the block plus 3 runs around the park                                                       takes 22 minutes

To solve, I will use substitution. First, I will divide the first equation by 2 to get b by itself and subtract p from both sides to get b by itself. Then, substitute 5 - 1/2p in for b in the second equation because they have equal values. Then, subtract 10 from both sides to eliminate it. Divide by 2 to both sides to get 'p' by itself.

2b + p = 10 min ---------→b + 1/2p = 5 ----------→ b = 5 - 1/2p

2(5 - 1/2p) + 3p = 22 ---------→ 10 -p + 3p = 22 --------→ 10 + 2p = 22

10 + 3p = 22 ----------→ 2p = 12

2p = 12 -------------→ p = 6

It takes 6 minutes to jog around the park

Hope this helps!
6 0
3 years ago
Omar rented a jet ski for an afternoon. The fees include $86 for each hour the jet ski is rented and $15 for a life vest. Which
9966 [12]

Answer:

D

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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