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Westkost [7]
3 years ago
8

What is the factored form of the expression. 4n^2 + 24n + 36

Mathematics
1 answer:
skad [1K]3 years ago
6 0

Answer:

(2n+6)^2

Step-by-step explanation:

To solve this, you can use the given formula: x^2 + 2xy + y^2

In this case, 4n^2 is x^2, 24n is 2xy, and 36 is y^2. The next step is:

(2n)^2 + 2(2n)(6) + (6)^2

Since this equation fits into this formula ( x^2 + 2xy + y^2), we can do:

(2n+6)(2n+6) =

(2n+6)^2

Hence, the answer is (2n+6)^2

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Which of the following correctly displays s +u?
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Answer: D

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bixtya [17]

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Subtract.<br>(3x²+7) - (3x - 2)​
alekssr [168]

Answer:

3 • (x2 - x + 3)

Step-by-step explanation:

Step  1  :

Equation at the end of step  1  :

 (3x2 +  7) -  (3x - 2)

Step  2  :

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  3x2 - 3x + 9  =   3 • (x2 - x + 3)

Trying to factor by splitting the middle term

3.2     Factoring  x2 - x + 3

The first term is,  x2  its coefficient is  1 .

The middle term is,  -x  its coefficient is  -1 .

The last term, "the constant", is  +3

Step-1 : Multiply the coefficient of the first term by the constant   1 • 3 = 3

Step-2 : Find two factors of  3  whose sum equals the coefficient of the middle term, which is   -1 .

     -3    +    -1    =    -4

     -1    +    -3    =    -4

     1    +    3    =    4

     3    +    1    =    4

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

 3 • (x2 - x + 3)

Processing ends successfully

plz mark me as brainliest :)

3 0
4 years ago
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