What is (-10x^5-6x-13x^4)-(-10x^4-x^5-5x^3) ?

The solution to (-10x^5-6x-13x^4)-(-10x^4-x^5-5x^3) is -9x^5-3x^4+5x^3-6x

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simplify (-10x^5-6x-13x^4)-(-10x^4-x^5-5x^3)

simplify

(- 10 x^{5} - 6 x - 13 x^{4}) - (- 10 x^{4} - x^{5} - 5 x^{3})

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

Solution steps

(- 10 x^{5} - 6 x - 13 x^{4}) - (- 10 x^{4} - x^{5} - 5 x^{3})

Apply rule:

(a) = a

(- 10 x^{5} - 6 x - 13 x^{4}) = - 10 x^{5} - 6 x - 13 x^{4}

= - 10 x^{5} - 6 x - 13 x^{4} - (- 10 x^{4} - x^{5} - 5 x^{3})

Apply the distributive law:

- (- a - b) = a + b

- (- 10 x^{4} - x^{5} - 5 x^{3}) = 10 x^{4} + x^{5} + 5 x^{3}

= - 10 x^{5} - 6 x - 13 x^{4} + 10 x^{4} + x^{5} + 5 x^{3}

Add similar elements:

- 13 x^{4} + 10 x^{4} = - 3 x^{4}

= - 10 x^{5} - 6 x - 3 x^{4} + x^{5} + 5 x^{3}

Group like terms

= - 10 x^{5} + x^{5} - 3 x^{4} + 5 x^{3} - 6 x

Add similar elements:

- 10 x^{5} + x^{5} = - 9 x^{5}

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

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What is (-10x^5-6x-13x^4)-(-10x^4-x^5-5x^3) ?
The solution to (-10x^5-6x-13x^4)-(-10x^4-x^5-5x^3) is -9x^5-3x^4+5x^3-6x