Value of 987 times 987 plus 987 times 26 plus 169 is A 100013 B 100012 C 100000 D 1000000

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Value of $987 \times 987 + 987 \times 26 + 169$ is A 100013 B 100012 C 100000 D 1000000

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The correct option is D: 1000000.

To find the value of $987 \times 987 + 987 \times 26 + 169$, we start by rewriting the expression:

$$ 987^2 + 987 \times 26 + 13^2 $$

We can recognize this as a perfect square trinomial. Specifically, it follows the form $a^2 + 2ab + b^2$ where $a = 987$ and $b = 13$. Here is the expanded form:

$$ 987^2 + 2 \times 987 \times 13 + 13^2 $$

This can be simplified as:

$$ (987 + 13)^2 $$

Simplifying further:

$$ (1000)^2 $$

Finally, calculating the square of 1000 gives us:

$$ 1000000 $$

Thus, the value is 1000000.

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