Question

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

Answer 1

The answer is:  [B]:  " -10a + 6b² − 4b + 3 " .
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Explanation:
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Given:
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  -2(5a − 3b²) − 4b + 3 ;  
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    "Use the distributive property [of multiplication] to expand the expression."
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Note the distributive property of multiplication:
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           a(b + c) = ab + ac ;
           a(b − c) = ab − ac ;
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So, we have:  " -2(5a − 3b²) − 4b + 3 "  ;
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Start  with:  " -2(5a − 3b²) " ; 
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   -2(5a − 3b²)  =  (-2*5a) − (-2*3b²)  =  (-10a) − (-6b²)
 
           =  -10a + 6b²
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        → Now, bring down the rest of the problem; 
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  -10a + 6b² − 4b + 3 ;  which is:  Answer choice:  [B].
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Answer 2

Answer:the answer is A

Step-by-step explanation: