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forsale [732]
2 years ago
10

Factor the expression below: 17x –34

Mathematics
2 answers:
abruzzese [7]2 years ago
8 0

Answer:

Step-by-step explanation:

17(x-2)

masha68 [24]2 years ago
6 0

Answer:

17(x -2).

Step-by-step explanation:

The greatest common factor of 17x and 34 is 17.

To find the other factor we divide by 17.

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(4x-9)(2x^2+2x+1) (4x−9)(2x 2 +2x+1)
tia_tia [17]

Answer:

(4x-9)^2*(2x^2+2x+1)^2

Step-by-step explanation:

(((4x-9)•(((2•(x2))+2x)+1))•(4x-9))•((2x2+2x)+1)

]  (((4x-9)•((2x2+2x)+1))•(4x-9))•(2x2+2x+1)

Trying to factor by splitting the middle term

Factoring  2x2+2x+1

The first term is,  2x2  its coefficient is  2 .

The middle term is,  +2x  its coefficient is  2 .

The last term, "the constant", is  +1

Step-1 : Multiply the coefficient of the first term by the constant   2 • 1 = 2

Step-2 : Find two factors of  2  whose sum equals the coefficient of the middle term, which is   2 .

     -2    +    -1    =    -3

     -1    +    -2    =    -3

     1    +    2    =    3

     2    +    1    =    3

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

 ((4x-9)•(2x2+2x+1)•(4x-9))•(2x2+2x+1)

Multiplying Exponential Expressions:

4.1    Multiply  (4x-9)  by  (4x-9)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is  (4x-9)  and the exponents are :

         1 , as  (4x-9)  is the same number as  (4x-9)1

and   1 , as  (4x-9)  is the same number as  (4x-9)1

The product is therefore,  (4x-9)(1+1) = (4x-9)2

Trying to factor by splitting the middle term

5.1     Factoring  2x2+2x+1

The first term is,  2x2  its coefficient is  2 .

The middle term is,  +2x  its coefficient is  2 .

The last term, "the constant", is  +1

Step-1 : Multiply the coefficient of the first term by the constant   2 • 1 = 2

Step-2 : Find two factors of  2  whose sum equals the coefficient of the middle term, which is   2 .

     -2    +    -1    =    -3

     -1    +    -2    =    -3

     1    +    2    =    3

     2    +    1    =    3

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Multiplying Exponential Expressions:

5.2    Multiply  (2x2+2x+1)  by  (2x2+2x+1)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is  (2x2+2x+1)  and the exponents are :

      1 , as  (2x2+2x+1)  is the same number as  (2x2+2x+1)1

and   1 , as  (2x2+2x+1)  is the same number as  (2x2+2x+1)1

The product is therefore,  (2x2+2x+1)(1+1) = (2x2+2x+1)2

Final result :

 (4x - 9)2 • (2x2 + 2x + 1)2

6 0
2 years ago
4. The volume of a spherical balloon with a radius of 3.1 cm is about 125 cm3. Estimate the volume of a
Greeley [361]

Answer:

1,000cm

Step-by-step explanation:

I just did the practice. I got it right.

7 0
3 years ago
Please help........................................
levacccp [35]

Answer:

4:25

8:125

Step-by-step explanation:

Surface Ratio is the "Similarity Ratio" to the power of 2

Volume Ratio is the "Similarity Ratio" to the power of 3

It's logical and deductable by paying attention to the correlation between the "Side"s(or "Diameter"s) and the "Surface" and the "Volume"s in simple shapes like Circles and square.

By paying attention to the formula of the "Surface Area" and the "Volume" or the m /m^2 /m^3 ( the units of measurement) we can easily notice the relation.

7 0
2 years ago
Rewrite the expression 14m - (5+8m) without parentheses
Gekata [30.6K]

Answer:

Step-by-step explanation:

14m - (5+8m) = 14m - 5 - 8m

                     = 14m - 8m - 5

                     = 6m - 5

3 0
3 years ago
Read 2 more answers
What is the vertex of the quadratic function below?
Lina20 [59]

i say the answer is c

7 0
3 years ago
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