The sum of two binomials is $5 x^{2} - 6 x$ . If one of the binomial is $3 x^{2} - 2 x .$ What is the other binomial?

2 x^{2} - 4 x

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2 x^{2} - 8 x

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8 x^{2} - 4 x

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8 x^{2} - 8 x

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Solution

The correct option is A $2 x^{2} - 4 x$
Other binomial $= 5 x^{2} - 6 x - (3 x^{2} - 2 x)$
$= 5 x^{2} - 6 x - 3 x^{2} + 2 x$
$= 2 x^{2} - 4 x$

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5 x^{2} - 6 x

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2 (x^{2} - 6 x)^{2} - 8 (x^{2} - 6 x + 3) - 40

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