Let's solve each mathematical expression step-by-step.
First expression:
[tex]\[ 253 \times 34 \][/tex]
We need to multiply 253 by 34. The product of these two numbers is:
[tex]\[ 253 \times 34 = 8602 \][/tex]
Second expression:
[tex]\[ (1012 \times 30) + (590 \times 4) \][/tex]
First, calculate the product of 1012 and 30:
[tex]\[ 1012 \times 30 = 30360 \][/tex]
Next, calculate the product of 590 and 4:
[tex]\[ 590 \times 4 = 2360 \][/tex]
Now, add these two results together:
[tex]\[ 30360 + 2360 = 32720 \][/tex]
Therefore, the results are:
[tex]\[ 253 \times 34 = 8602 \][/tex]
[tex]\[ (1012 \times 30) + (590 \times 4)= 32720 \][/tex]