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Fofino [41]
3 years ago
8

Which expression is equivalent to 9q^2 - 2/3 (3q - 7) + 5q^2?

Mathematics
1 answer:
nikitadnepr [17]3 years ago
3 0

Answer:

14q^2−2q+14/3

Step-by-step explanation:

9q^2 - 2/3 (3q - 7) + 5q^2

Use the distributive property to multiply -2/3 by 3q−7.

9q^2 - 2q + 14/3 + 5q^2

Combine 9q^2 and 5q^2 to get 14q^2

14q^2−2q+14/3

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Factorize :3y²-54y+343​
arlik [135]

1 In general, given

a

x

2

+

b

x

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a

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2 In this case,

a

=

3

a=3,

b

=

−

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b=−54 and

c

=

343

c=343.

3

(

y

−

54

+

(

−

54

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2

−

4

×

3

×

343

2

×

3

)

(

y

−

54

−

(

−

54

)

2

−

4

×

3

×

343

2

×

3

)

3(y−

2×3

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)(y−

2×3

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2

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​

)

3 Simplify.

3

(

y

−

54

+

20

3

ı

6

)

(

y

−

54

−

20

3

ı

6

)

3(y−

6

54+20

3

​



​

)(y−

6

54−20

3

​



​

)

4 Factor out the common term

2

2.

3

(

y

−

2

(

27

+

10

3

ı

)

6

)

(

y

−

54

−

20

3

ı

6

)

3(y−

6

2(27+10

3

​

)

​

)(y−

6

54−20

3

​



​

)

5 Simplify

2

(

27

+

10

3

ı

)

6

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)

​

to

27

+

10

3

ı

3

3

27+10

3

​



​

.

3

(

y

−

27

+

10

3

ı

3

)

(

y

−

54

−

20

3

ı

6

)

3(y−

3

27+10

3

​



​

)(y−

6

54−20

3

​



​

)

6 Factor out the common term

2

2.

3

(

y

−

27

+

10

3

ı

3

)

(

y

−

2

(

27

−

10

3

ı

)

6

)

3(y−

3

27+10

3

​



​

)(y−

6

2(27−10

3

​

)

​

)

7 Simplify

2

(

27

−

10

3

ı

)

6

6

2(27−10

3

​

)

​

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27

−

10

3

ı

3

3

27−10

3

​



​

.

3

(

y

−

27

+

10

3

ı

3

)

(

y

−

27

−

10

3

ı

3

)

3(y−

3

27+10

3

​



​

)(y−

3

27−10

3

​

I hope this help you

​

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