Question

*Compute the following* I need all answers with step by step explanition pls

a.7 –(-14) + 24 –(-15)b.–57 –(-153) + (-34) -55c.–157 –234 + (-107) -355
b.–57 –(-153) + (-34) -55c.–157 –234 + (-107) -355
c.–157 –234 + (-107) -355

Find the value of:
a.7 –14 + 22 + 26 –46 + 17 -18
b.17 + 14 + 122 -126 –156 + 107 -118

Answer 1

Answer:

Solution:

(i) (-12)³ + (7)³+ (5)³

Let x = -12, y = 7&z=5 Here, x + y + z = 0 We know that if, x + y + z = 0, then x³ + y² + z³ = 3xyz (-12)³ + (7)³ + (5)³ = 3(-12)(7)(5) = -1260 (-12)³+ (7)³+ (5)³ = - 1260

x+y+z= -12 + 7 + 5 = 0

(ii) (28)³ + (−15)³ + (-13)³

Let x = 28, y = -15 and z = -13 Here, x + y + z = 0

x+y+z = 28-15-13-0

We know that if, x + y + z = 0,

then x³ + y³ + z³ = 3xyz

(28) ³+ (-15)³ + (-13)³ = 3(28)(-15)(-13) = 16380

(28)³+ (−15)³ + (-13)³ = 16380