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simplify:
(3x + 7) - (4x - 2)
a.-x+5
b. -x+9
c. 7x-5
d.7x+5
e.7x + 9

3x7 • (4x2 - 5x + 3)

Step-by-step explanation:

End of step 1- (3 • (x7)) • ((22x2 -  5x) +  3)

End step 2- 3x7 • (4x2 - 5x + 3)

Step 3-Trying to factor by splitting the middle term

3.1     Factoring  4x2-5x+3

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

The middle term is,  -5x  its coefficient is  -5 .

The last term, "the constant", is  +3

Step-1 : Multiply the coefficient of the first term by the constant   4 • 3 = 12

Step-2 : Find two factors of  12  whose sum equals the coefficient of the middle term, which is   -5 .

     -12    +    -1    =    -13

     -6    +    -2    =    -8

     -4    +    -3    =    -7

     -3    +    -4    =    -7

     -2    +    -6    =    -8

     -1    +    -12    =    -13

     1    +    12    =    13

     2    +    6    =    8

     3    +    4    =    7

     4    +    3    =    7

     6    +    2    =    8

     12    +    1    =    13

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

 3x7 • (4x2 - 5x + 3)

6 on both sides and twelve on the top and the bottom

step-by-step explanation: