To solve the first expression, we follow the order of operations (PEMDAS/BODMAS):

(29-9).(-9)+(-13-17).21

First, we perform the subtraction inside the parentheses:

(20).(-9)+(-30).21

Next, we perform the multiplication:

-180 + (-630)

Finally, we add the two numbers:

-180 - 630 = -810

Therefore, (29-9).(-9)+(-13-17).21 = -810.

Now let's solve the second expression:

(-157).(127-316)-127.(316-157)

Again, we follow the order of operations:

(-157).(127-316)-127.(316-157)

First, we perform the subtraction inside the parentheses:

(-157).(-189)-127.(159)

Next, we perform the multiplications:

29673 - 20193

Finally, we subtract the two numbers:

29673 - 20193 = 9479

Therefore, (-157).(127-316)-127.(316-157) = 9479.