The correct option is B 33 56i We have, (4 7i)^2 ⇒ 4^2+(7i)^2 2× 4× 7i ⇒ 16+49i^2 56i ⇒ 16+49( 1) 56i #160; #160; #160; #16 ...

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Expansion of (a - b)^2

Evaluate: 4...

Question

Evaluate: $(4 - 7 i)^{2}$ :

- 43 - 46 i

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- 33 - 56 i

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- 63 - 24 i

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- 56 i

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Solution

The correct option is B $- 33 - 56 i$
We have,
$(4 - 7 i)^{2}$

$\Rightarrow 4^{2} + (7 i)^{2} - 2 \times 4 \times 7 i$

$\Rightarrow 16 + 49 i^{2} - 56 i$

$\Rightarrow 16 + 49 (- 1) - 56 i$ $∵ i^{2} = - 1$

$\Rightarrow 16 - 49 - 56 i$

$\Rightarrow - 33 - 56 i$

Hence, this is the answer.

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