What is (6-10x^2-5x^3)-(11x^3+14x^2-3x^5) ?

The solution to (6-10x^2-5x^3)-(11x^3+14x^2-3x^5) is 3x^5-16x^3-24x^2+6

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simplify (6-10x^2-5x^3)-(11x^3+14x^2-3x^5)

simplify

(6 - 10 x^{2} - 5 x^{3}) - (11 x^{3} + 14 x^{2} - 3 x^{5})

3 x^{5} - 16 x^{3} - 24 x^{2} + 6

Solution steps

(6 - 10 x^{2} - 5 x^{3}) - (11 x^{3} + 14 x^{2} - 3 x^{5})

Apply rule:

(a) = a

(6 - 10 x^{2} - 5 x^{3}) = 6 - 10 x^{2} - 5 x^{3}

= 6 - 10 x^{2} - 5 x^{3} - (11 x^{3} + 14 x^{2} - 3 x^{5})

Apply the distributive law:

- (a + b) = - a - b

- (11 x^{3} + 14 x^{2} - 3 x^{5}) = - 11 x^{3} - 14 x^{2} + 3 x^{5}

= 6 - 10 x^{2} - 5 x^{3} - 11 x^{3} - 14 x^{2} + 3 x^{5}

Add similar elements:

- 5 x^{3} - 11 x^{3} = - 16 x^{3}

= 6 - 10 x^{2} - 16 x^{3} - 14 x^{2} + 3 x^{5}

Group like terms

= 3 x^{5} - 16 x^{3} - 10 x^{2} - 14 x^{2} + 6

Add similar elements:

- 10 x^{2} - 14 x^{2} = - 24 x^{2}

= 3 x^{5} - 16 x^{3} - 24 x^{2} + 6

\frac{10 ab - 15 b ^{2}}{4 a ^{2} - 6 ab}

4 x^{2} - 5 x y - 6 y^{2}

cos (x) csc (x)

(x^{3})^{- 4}

What is (6-10x^2-5x^3)-(11x^3+14x^2-3x^5) ?
The solution to (6-10x^2-5x^3)-(11x^3+14x^2-3x^5) is 3x^5-16x^3-24x^2+6