What is (-7x-5x^4+5)-(-7x^4-5-9x) ?

The solution to (-7x-5x^4+5)-(-7x^4-5-9x) is 2x^4+2x+10

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simplify (-7x-5x^4+5)-(-7x^4-5-9x)

simplify

(- 7 x - 5 x^{4} + 5) - (- 7 x^{4} - 5 - 9 x)

2 x^{4} + 2 x + 10

Solution steps

(- 7 x - 5 x^{4} + 5) - (- 7 x^{4} - 5 - 9 x)

Apply rule:

(a) = a

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

= - 7 x - 5 x^{4} + 5 - (- 7 x^{4} - 5 - 9 x)

Apply the distributive law:

- (- a - b) = a + b

- (- 7 x^{4} - 5 - 9 x) = 7 x^{4} + 5 + 9 x

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

Group like terms

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

Add similar elements:

- 5 x^{4} + 7 x^{4} = 2 x^{4}

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

Add similar elements:

- 7 x + 9 x = 2 x

= 2 x^{4} + 2 x + 5 + 5

Add the numbers:

5 + 5 = 10

= 2 x^{4} + 2 x + 10

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

x - 3^{2}

(2 x - 1) (x + 4) - (2 x - 1) (3 x + 1)

x y^{3} (- 3 x y^{3})

- (x + 5)^{2}

What is (-7x-5x^4+5)-(-7x^4-5-9x) ?
The solution to (-7x-5x^4+5)-(-7x^4-5-9x) is 2x^4+2x+10