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287 × 287 + 269 × 269 - 2 × 287 × 269 = ?
Answer & Solution
Correct Answer:
Option
D
$$\eqalign{
& \left( {287 \times 287 + 269 \times 269 - 2 \times 287 \times 269} \right) \cr
& = {\left( {287} \right)^2} + {\left( {269} \right)^2} - \left( {2 \times 287 \times 269} \right) \cr
& = {\left( {287 - 269} \right)^2} \cr
& = {\left( {18} \right)^2} \cr
& = 324 \cr} $$
[∵ a2 + b2 - 2ab = (a - b)2 ]
[∵ a2 + b2 - 2ab = (a - b)2 ]
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