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4 years ago

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

Mathematics

2 answers:

Digiron [165]4 years ago

5 0

The answer is 10x^2+13x+5
I hope that helped

bezimeni [28]4 years ago

5 0

The simplified answer is: " 10x² + 13x + 5 " .
_____________________________________________________
Explanation:
_____________________________________________________
Given:
_____________________________________________________

(7x²− 2x + 9) + (3x²+ 15x − 4) ;

→ 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" :
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a(b + c) = ab + ac ;

a(b − c) = ab + ac ;
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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 ;
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and rewrite the expression:
____________________________________________________
which is: " 10x² + 13x + 5 " .
____________________________________________________

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