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Factor.\newline16st+8s+18t+916st + 8s + 18t + 9

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Q. Factor.\newline16st+8s+18t+916st + 8s + 18t + 9
  1. Identify Common Factors: Look for common factors in each pair of terms.\newlineWe can group the terms as 16st+8s16st + 8s and 18t+918t + 9 to look for common factors.
  2. Factor Out First Group: Factor out the common factor from the first group.\newlineIn the first group 16st+8s16st + 8s, the common factor is 8s8s.\newlineSo, 16st+8s=8s(2t+1)16st + 8s = 8s(2t + 1).
  3. Factor Out Second Group: Factor out the common factor from the second group.\newlineIn the second group (18t+9)(18t + 9), the common factor is 99.\newlineSo, 18t+9=9(2t+1)18t + 9 = 9(2t + 1).
  4. Check for Common Binomial Factor: Check if both groups have a common binomial factor.\newlineBoth groups have the common binomial factor 2t+12t + 1.
  5. Factor Out Common Binomial Factor: Factor out the common binomial factor.\newlineSince both groups have the common binomial factor (2t+1)(2t + 1), we can factor it out.\newlineThe expression becomes (8s+9)(2t+1)(8s + 9)(2t + 1).