Answer
a. 0
b. 43
c. -21
d. -6
e. -4
Work Step by Step
a. $\frac{0(-5)}{3}$
$\frac{0}{3}$
$0\div3=0$
b. $-3(-9)-4(-4)=$
$(-3\times-9)-(4\times-4)=$
$(27) - (-16)=$
$27+16=43$
c. $(-3)^{2} +2[(5-15) - |-4-1|]=$
$(-3)^{2} + 2[(-10) - |-5|]=$
$(-3)^{2} +2[-10-5]=$
$(-3)^{2} + 2[-15]=$
$((-3)(-3)) - 30=$
$9-30= -21$
d. $\frac{-7(-4)+2}{-10-(-5)}=$
$\frac{28+2}{-10+5}=$
$\frac{30}{-5}=$
$30\div-5= -6$
e. $\frac{5(-2)^{3}+52}{-4+1}=$
$\frac{5(-8)+52}{-4+1}=$
$\frac{-40+52}{-4+1}=$
$\frac{12}{-3}=$
$12\div-3=-4$