volume_mute

Multiply

publish date2023/05/29 00:40:00 GMT+10

-6(-3y - 8)

Please keep the order and numbers to come before variables 

 

volume_mute

Correct Answer

$18y+48$

Explanation

  • Distribute the multiplication by -6
    • -6(-3y - 8) = -6(-3y) - (-6)(8)
  • Do the multiplications. 
    • = 18y - (-48)
  • Write the result in simpler form.  Add the opposite of -48
    • = 18y + 48

Another approach is to write the subtraction within the parentheses as addition  the opposite.  Then we distribute the multiplication by -6 over the addition

  • Add the opposite of 8
    • -6(-3y - 8) = -6[-3y + (-8)]
  • Distribute the multiplication by -6
    • = -6(-3y) + (-6)(-8)
  • Do the multiplication
    • = 18y + 48
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Reference

Mathematics for college students


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