This computer science problem involves algorithmic thinking and programming concepts. The solution below explains the approach, logic, and implementation step by step.
ScanSolve AI Answer
Fresh day manjay9804398176, let's solve. To factorize the expression (a+y)^2 - 11(a+y) - 42, we can use a substitution to simplify it. Step 1: Substitute a new variable for the common term. Let x = a+y. The expression becomes: x^2 - 11x - 42 Step 2: Factorize the quadratic expression. We need to find two numbers that multiply to -42 and add up to -11. These numbers are 3 and -14. So, we can rewrite the middle term: x^2 + 3x - 14x - 42 Group the terms and factor: x(x+3) - 14(x+3) Factor out the common binomial (x+3): (x+3)(x-14) Step 3: Substitute back the original term. Now, replace x with (a+y): ((a+y)+3)((a+y)-14) Step 4: Simplify the expression. (a+y+3)(a+y-14) The factored expression is: (a+y+3)(a+y-14) Send me the next one 📸