This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Recognize the expression as a difference of squares, a^2 - B^2 = (a-B)(a+B). Here, a^2 = 16, so a = sqrt(16) = 4. And B^2 = 25(b+3)^2, so B = sqrt(25(b+3)^2) = 5(b+3). Step 2: Substitute a and B into the difference of squares formula. 16 - 25(b+3)^2 = (4 - 5(b+3))(4 + 5(b+3)) Step 3: Distribute the 5 in each factor. (4 - (5b + 15))(4 + (5b + 15)) Step 4: Simplify the terms inside each set of parentheses. (4 - 5b - 15)(4 + 5b + 15) (-5b - 11)(5b + 19) The factored form is: (-5b - 11)(5b + 19) What's next? Send 'em 📸