Question

what is the simplified form of each expression?

1) 1/3(21m+27)

2) 3/4(-28m+20)

3) (4-c)(-1)

4) (2-9c)(-8)

Answer 1

1) 7m+9
2)-21m+15
3)-4+c
4)-16+72c

Answer 2

$1)\\\dfrac{1}{3}(21m+27)=\dfrac{21}{3}m+\dfrac{27}{3}=7m+9\\\\2)\\\dfrac{3}{4}(-28m+20)=-\dfrac{3\cdot28}{4}m+\dfrac{3\cdot20}{4}=-3\cdot7m+3\cdot5=-21m+15\\\\3)\\(4-c)(-1)=4(-1)-c(-1)=-4+c=c-4\\\\4)\\(2-9c)((-8)=2(-8)-9c(-8)=-16+72c=72c-16$