Use the distributive property to expand the expression. −2(5a − 3b2) − 4b + 3 a) −10a + 6b2 − 4b + 3 b) −10a − 6b2 − 4b + 3 c) −10a + 6b2 − 4b − 3 d) −10a − 6b2 − 4b − 3

The answer is:  [B]:  " -10a + 6b² − 4b + 3 " .

Explanation:

Given:

  -2(5a − 3b²) − 4b + 3 ;  

    "Use the distributive property [of multiplication] to expand the expression."

Note the distributive property of multiplication:

           a(b + c) = ab + ac ;
           a(b − c) = ab − ac ;

So, we have:  " -2(5a − 3b²) − 4b + 3 "  ;


Start  with:  " -2(5a − 3b²) " ; 
 
 
   -2(5a − 3b²)  =  (-2*5a) − (-2*3b²)  =  (-10a) − (-6b²)
 
           =  -10a + 6b²

        → Now, bring down the rest of the problem; 

  -10a + 6b² − 4b + 3 ;  which is:  Answer choice:  [B].