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Charra [1.4K]
3 years ago
10

Simplify (7x^2− 2x + 9) + (3x^2+ 15x − 4).

Mathematics
2 answers:
Digiron [165]3 years ago
5 0
The answer is 10x^2+13x+5
I hope that helped
bezimeni [28]3 years ago
5 0
<span>The simplified answer is:  </span> " 10x² + 13x + 5 " .<span>
_____________________________________________________
Explanation:
_____________________________________________________
Given:
_____________________________________________________
 
 (7x</span>²− 2x + 9) + (3x²<span>+ 15x − 4) ;

</span>→ Rewrite as:   (7x²− 2x + 9) + 1(3x²+ 15x − 4)
___________________________________________
Considering the following portion of the expression:
___________________________________________
   "  1(3x²+ 15x − 4) " ;
___________________________________________
Note the "distributive property of multiplication" :
___________________________________________
  a(b + c) = ab + ac ;

  a(b − c) = ab + ac ;
___________________________________________
Likewise:

 a(b + c − d) = ab + ac − ad ;
___________________________________________
   So;       1(3x²+ 15x − 4) = (1*3x²) + (1*15x) − (1*4)  ; 

               =  3x² + 15x − 4

Bring down the: "(7x²− 2x + 9)" ;  and rewrite the expression:
___________________________________________________

          7x² − 2x + 9 + 3x² + 15x − 4 ;

Combine the "like terms" :

  +7x² + 3x² =  + 10x² ;

  - 2x + 15x = + 13x ; 
 
  + 9 − 4 = + 5 ; 
____________________________________________________
and rewrite the expression:
____________________________________________________
   which is:   " 10x² + 13x + 5 " .
____________________________________________________
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