$$\frac{256 × 256 - 144 × 144}{112}$$ is equal to :

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Question

$$\frac{256 × 256 - 144 × 144}{112}$$ is equal to :

Options:

A . 420

B . 400

C . 360

D . 320

Answer: Option B
Given expression
$$\eqalign{
& = \frac{{{{\left( {256} \right)}^2} - {{\left( {144} \right)}^2}}}{{112}} \cr
& = \frac{{\left( {256 + 144} \right)\left( {256 - 144} \right)}}{{112}} \cr
& = \frac{{\left( {400 \times 112} \right)}}{{112}} \cr
& = 400 \cr} $$

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