simplify: $(x^{2} - x + 1) (2 x^{2} + 2)$

2 x^{4} - 2 x^{3} + 4 x^{2} - 2 x + 2

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2 x^{4} - 2 x^{3} + 4 x^{5} - 2 x + 2

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2 x^{4} + 2 x^{3} + 4 x^{2} - 2 x + 2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2 x^{4} - 2 x^{3} - 2 x + 2

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Solution

The correct option is A $2 x^{4} - 2 x^{3} + 4 x^{2} - 2 x + 2$
We have,
$(x^{2} - x + 1) (2 x^{2} + 2)$
$\Rightarrow 2 x^{4} + 2 x^{2} - 2 x^{3} - 2 x + 2 x^{2} + 2$
$\Rightarrow 2 x^{4} - 2 x^{3} + 4 x^{2} - 2 x + 2$

Hence, this is the answer.

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