Question

The value of \( (1125)^2 - (875)^2 \) is equal to

• A. 500000
• B. 500800
• C. 500600
• D. 500400

Answer 1

The Correct Option is A

Use the difference of squares formula: \[ a^2 - b^2 = (a - b)(a + b) \] Here, \( a = 1125 \) and \( b = 875 \), so: \[ 1125^2 - 875^2 = (1125 - 875)(1125 + 875) \] Simplify the expressions: \[ (1125 - 875) = 250, \quad (1125 + 875) = 2000 \] Multiply the results: \[ 250 \times 2000 = 500000 \] Use the difference of squares formula to simplify and solve problems involving the subtraction of squared terms.