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

The solution to (-7x^4-7x^2+6x-8)-(9x^4-9+3x^2) is -16x^4-10x^2+6x+1

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

simplify

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

- 16 x^{4} - 10 x^{2} + 6 x + 1

Solution steps

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

Apply rule:

(a) = a

(- 7 x^{4} - 7 x^{2} + 6 x - 8) = - 7 x^{4} - 7 x^{2} + 6 x - 8

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

Apply the distributive law:

- (a - b) = - a + b

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

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

Group like terms

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

Add similar elements:

- 7 x^{4} - 9 x^{4} = - 16 x^{4}

= - 16 x^{4} - 7 x^{2} - 3 x^{2} + 6 x - 8 + 9

Add similar elements:

- 7 x^{2} - 3 x^{2} = - 10 x^{2}

= - 16 x^{4} - 10 x^{2} + 6 x - 8 + 9

Add the numbers:

- 8 + 9 = 1

= - 16 x^{4} - 10 x^{2} + 6 x + 1

x^{2} + 2 x

lo g_{4} (\frac{15}{2})

lo g_{0.25} (64)

+ 20 x y + 12 x + 15 y + 9

- 144

What is (-7x^4-7x^2+6x-8)-(9x^4-9+3x^2) ?
The solution to (-7x^4-7x^2+6x-8)-(9x^4-9+3x^2) is -16x^4-10x^2+6x+1