Subtract $- 7 x^{3} + 4 x$ from $- 2 x^{3} + 8 x$ . .

5 x^{3} + 4 x

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9 x^{3} - 12 x

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- 5 x^{3} + 4 x

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Solution

The correct options are
A $5 x^{3} + 4 x$
C $- 5 x^{3} + 4 x$
Here, we need to subtract $- 7 x^{3} + 4 x$ from $- 2 x^{3} + 8 x$ .
$\Rightarrow$ $- 2 x^{3} + 8 x - (- 7 x^{3} + 4 x)$
$\Rightarrow$ $- 2 x^{3} + 8 x + 7 x^{3} - 4 x$

Combining the like terms,
$\Rightarrow$ $- 2 x^{3} + 7 x^{3} - 4 x + 8 x$
$\Rightarrow$ $5 x^{3} + 4 x$

Thus, $(- 2 x^{3} + 8 x) - (- 7 x^{3} + 4 x)$ is $5 x^{3} + 4 x$ .

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Similar questions

What must be subtracted from $4 x^{3} - 3 x + 5$ to get $2 x^{2} - 3 x^{3} + 5 x - 2$ ?

4 x^{3} - 3 x + 5

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

2 x^{3} - x^{2} + 4 x - 6

x^{3} + 5 x^{2} - 4 x + 6

Subtract:

(1) $4 x^{2}$ and $- 6 x y^{2}$

(2) $6 x^{3}$ and $- 2 x^{3}$

(3) $9 x y a n d 5 x y$

(4) $- 7 x^{3}$ and $- 8 x^{3} y$

(x^{3} - 3 x^{2} + 5 x - 1)

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

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