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
Here are the calculations for each part: Given x = -7 and y = 3. a) Calculate ((x+y)^2)/((x-y)^2). Step 1: Substitute the values of x and y into the expression. ((-7+3)^2)/((-7-3)^2) Step 2: Simplify the numerator and the denominator. ((-4)^2)/((-10)^2) = (16)/(100) Step 3: Simplify the fraction. (16)/(100) = (4)/(25) The value is (4)/(25). b) Calculate 2x^2 + xy^2. Step 1: Substitute the values of x and y into the expression. 2(-7)^2 + (-7)(3)^2 Step 2: Evaluate the powers. 2(49) + (-7)(9) Step 3: Perform the multiplications. 98 - 63 Step 4: Perform the subtraction. 35 The value is 35. c) Calculate 27x^2 - 12y^2. Step 1: Substitute the values of x and y into the expression. 27(-7)^2 - 12(3)^2 Step 2: Evaluate the powers. 27(49) - 12(9) Step 3: Perform the multiplications. 1323 - 108 Step 4: Perform the subtraction. 1215 The value is 1215. d) Calculate (3x+y^2)/(x). Step 1: Substitute the values of x and y into the expression. (3(-7)+(3)^2)/(-7) Step 2: Simplify the numerator. (-21+9)/(-7) = (-12)/(-7) Step 3: Simplify the fraction. (-12)/(-7) = (12)/(7) The value is (12)/(7). Send me the next one 📸