Question

Evaluate: ( (303 times 303 + 208 times 208) )

• A. 180348
• B. 91809
• C. 135073
• D. 43264
• E.

Hint:

Square numbers directly to solve problems involving sums of squares to avoid errors in multi-step calculations.

Answer 1

The Correct Option is C

Applying the distributive property: \[ 303^2 + 208^2 = (300 + 3)^2 + (200 + 8)^2 \] \[ = 300^2 + 2 \times 300 \times 3 + 3^2 + 200^2 + 2 \times 200 \times 8 + 8^2 \] \[ = 90000 + 1800 + 9 + 40000 + 3200 + 64 \] \[ = 91809 + 43264 = 135073 \] Therefore, the correct answer is 135073.