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To factorise the expression 72s - 99, we first look for common factors among the coefficients (numbers) and then among the variables.
Step 1: Look for common factors among the numbers (coefficients) 72 and 99:
72 = 2 x 2 x 2 x 3 x 3
99 = 3 x 3 x 11
The greatest common factor among 72 and 99 is 3.
Step 2: Factor out the common factor 3:
72s - 99 = 3(24s - 33)
Now the expression is fully factorised as 3(24s - 33).