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Addition of Rational Expressions

Subtract 6x...

Question

Subtract $6 x^{3} - 5 x^{2} + 4 x - 2$ from the sum of $x + 2 x^{2} - 3 x^{3}$ and $2 - x^{2} + 6 x - x^{3}$

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Solution

Sum of $x + 2 x^{2} - 3 x^{3}$ and $2 - x^{2} + 6 x - x^{3}$

$= (x + 2 x^{2} - 3 x^{3}) + (2 - x^{2} + 6 x - x^{3})$

$= x + 2 x^{2} - 3 x^{3} + 2 - x^{2} + 6 x - x^{3}$

$= 2 + 7 x + x^{2} - 4 x^{3}$

Now, Subtract $6 x^{3} - 5 x^{2} + 4 x - 2$ from $2 + 7 x + x^{2} - 4 x^{3}$

$= (2 + 7 x + x^{2} - 4 x^{2}) - (6 x^{3} - 5 x^{2} + 4 x - 2)$

$= 2 + 7 x + x^{2} - 4 x^{3} - 6 x^{3} + 5 x^{2} - 4 x + 2$

$= 4 + 3 x + 6 x^{2} - 10 x^{3}$

$A n s = 4 + 3 x + 6 x^{2} - 10 x^{3}$

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Similar questions

Q. Find the sum of

6 x^{3} - 7 x^{2} 2 x + 4

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

. Subtract it from the sum of

3 x^{3} + 2 x^{2} - 9

4 x^{3} + 7

Q. From the sum of

4 + 3 x

5 - 4 x + 2 x^{2}

, subtract the sum of

3 x^{3} - 5 x

- x^{2} + 2 x + 5

State true or false.

After Subtracting

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

(2 x^{2} - 4 x^{3} + 4 x + 9)

(- x^{3} + 3 x + 8)

.

Q. What must be subtracted from

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

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

Subtract: 2 x^{2} + 6 - 4 x from 3 x^{2} - 6 x + 8.

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