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kondaur [170]
3 years ago
6

Best answer gets brainliest! What are some equivalent expressions of 6(m + 2 + 7m)?

Mathematics
2 answers:
balu736 [363]3 years ago
6 0

\text{Hey there!}

\text{In order for you to solve this equation, you need to DISTRIBUTE}

\text{Formula: a(b + c) = ab + ac  / if this equation: a(b + c + d) = ab + ac + ad}

\text{6(m + 2 + m)}

\text{6(m) = 6m}

\text{6(2) = 12}

\text{6(7m) = 42m}

\text{Next, combine your like terms}\downarrow \\ \text{6m + 42m}\\ \text{The 12 stays the same because they AREN'T any like terms to compare it with}

\text{6m + 42m = 48m}

\text{12 = 12}

\boxed{\boxed{\text{Answer: 48m + 12}}}\checkmark

\text{Good luck on your assignment and enjoy your day!}

~\frak{LoveYourselfFirst:)}

bezimeni [28]3 years ago
3 0

Answer:

See Explanation

Step-by-step explanation:

To write an equivalent expression, we can combine like terms. So m +7m is 8 and we get 6(8m+2).

Here are a few others:

48m+12

6(m+m+m+m+m+m+m+m+2)

3(16m+4)

6m+12+42m

6m+6m+6m+6m+6m+6m+6m+6m+2

and the list goes on...

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27. A bag contains 2 red and 4 yellow apples. Brandon selects 2 apples at random. What
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Simplify<br> x² - 7x - 30<br> x² + 5x + 6
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2 years ago
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Irina18 [472]

4x2-28x+49  

Final result :

 (2x - 7)2

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (22x2 -  28x) +  49

Step  2  :

Trying to factor by splitting the middle term

2.1     Factoring  4x2-28x+49  

The first term is,  4x2  its coefficient is  4 .

The middle term is,  -28x  its coefficient is  -28 .

The last term, "the constant", is  +49  

Step-1 : Multiply the coefficient of the first term by the constant   4 • 49 = 196  

Step-2 : Find two factors of  196  whose sum equals the coefficient of the middle term, which is   -28 .

     -196    +    -1    =    -197  

     -98    +    -2    =    -100  

     -49    +    -4    =    -53  

     -28    +    -7    =    -35  

     -14    +    -14    =    -28    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -14  and  -14  

                    4x2 - 14x - 14x - 49

Step-4 : Add up the first 2 terms, pulling out like factors :

                   2x • (2x-7)

             Add up the last 2 terms, pulling out common factors :

                   7 • (2x-7)

Step-5 : Add up the four terms of step 4 :

                   (2x-7)  •  (2x-7)

            Which is the desired factorization

Multiplying Exponential Expressions :

2.2    Multiply  (2x-7)  by  (2x-7)  

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

In our case, the common base is  (2x-7)  and the exponents are :

         1 , as  (2x-7)  is the same number as  (2x-7)1  

and   1 , as  (2x-7)  is the same number as  (2x-7)1  

The product is therefore,  (2x-7)(1+1) = (2x-7)2  

Final result :

 (2x - 7)2

7 0
3 years ago
Read 2 more answers
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