Reduce the following numbers to simplest form: $- 7^{2} - (- 23)^{2} + (- 1)^{2} + 4^{2} - (- 9)^{2}$ .

600

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- 642

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642

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- 659

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Solution

The correct option is B $- 642$
$(7)^{2}$ $=$ $(7 \times 7)$ $=$ $49$
$(- 23)^{2}$ $=$ $(- 23 \times - 23)$ $=$ $529$
$(- 1)^{2}$ $=$ $(- 1 \times - 1)$ $=$ $1$
$(4)^{2}$ $=$ $(4 \times 4)$ $=$ $16$
$(- 9)^{2}$ $=$ $(- 9 \times - 9)$ $=$ $81$
$- 49 - 529 + 1 + 16 - 81$ $=$ $- 642$
Hence, Option B is correct.

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