What is (5x^6-2x^4+9x^3+2x-4)-(7x^5-8x^4+2x-11) ?

The solution to (5x^6-2x^4+9x^3+2x-4)-(7x^5-8x^4+2x-11) is 5x^6-7x^5+6x^4+9x^3+7

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simplify (5x^6-2x^4+9x^3+2x-4)-(7x^5-8x^4+2x-11)

simplify

(5 x^{6} - 2 x^{4} + 9 x^{3} + 2 x - 4) - (7 x^{5} - 8 x^{4} + 2 x - 11)

5 x^{6} - 7 x^{5} + 6 x^{4} + 9 x^{3} + 7

Solution steps

(5 x^{6} - 2 x^{4} + 9 x^{3} + 2 x - 4) - (7 x^{5} - 8 x^{4} + 2 x - 11)

Apply rule:

(a) = a

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

= 5 x^{6} - 2 x^{4} + 9 x^{3} + 2 x - 4 - (7 x^{5} - 8 x^{4} + 2 x - 11)

Apply the distributive law:

- (a - b) = - a + b

- (7 x^{5} - 8 x^{4} + 2 x - 11) = - 7 x^{5} + 8 x^{4} - 2 x + 11

= 5 x^{6} - 2 x^{4} + 9 x^{3} + 2 x - 4 - 7 x^{5} + 8 x^{4} - 2 x + 11

Group like terms

= 5 x^{6} - 7 x^{5} - 2 x^{4} + 8 x^{4} + 9 x^{3} + 2 x - 2 x - 4 + 11

Add similar elements:

- 2 x^{4} + 8 x^{4} = 6 x^{4}

= 5 x^{6} - 7 x^{5} + 6 x^{4} + 9 x^{3} + 2 x - 2 x - 4 + 11

Add similar elements:

2 x - 2 x = 0

= 5 x^{6} - 7 x^{5} + 6 x^{4} + 9 x^{3} - 4 + 11

Add the numbers:

- 4 + 11 = 7

= 5 x^{6} - 7 x^{5} + 6 x^{4} + 9 x^{3} + 7

(x + 12) (x - 12)

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

\frac{3}{10}

3 \times 5

(3 - 2 i) - (5 - 7 i)

What is (5x^6-2x^4+9x^3+2x-4)-(7x^5-8x^4+2x-11) ?
The solution to (5x^6-2x^4+9x^3+2x-4)-(7x^5-8x^4+2x-11) is 5x^6-7x^5+6x^4+9x^3+7