What is (10n+4n^7-5n^6)-(11n^6+7n^7-18n) ?

The solution to (10n+4n^7-5n^6)-(11n^6+7n^7-18n) is -3n^7-16n^6+28n

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simplify (10n+4n^7-5n^6)-(11n^6+7n^7-18n)

simplify

(10 n + 4 n^{7} - 5 n^{6}) - (11 n^{6} + 7 n^{7} - 18 n)

- 3 n^{7} - 16 n^{6} + 28 n

Solution steps

(10 n + 4 n^{7} - 5 n^{6}) - (11 n^{6} + 7 n^{7} - 18 n)

Apply rule:

(a) = a

(10 n + 4 n^{7} - 5 n^{6}) = 10 n + 4 n^{7} - 5 n^{6}

= 10 n + 4 n^{7} - 5 n^{6} - (11 n^{6} + 7 n^{7} - 18 n)

Apply the distributive law:

- (a + b) = - a - b

- (11 n^{6} + 7 n^{7} - 18 n) = - 11 n^{6} - 7 n^{7} + 18 n

= 10 n + 4 n^{7} - 5 n^{6} - 11 n^{6} - 7 n^{7} + 18 n

Add similar elements:

- 5 n^{6} - 11 n^{6} = - 16 n^{6}

= 10 n + 4 n^{7} - 16 n^{6} - 7 n^{7} + 18 n

Group like terms

= 4 n^{7} - 7 n^{7} - 16 n^{6} + 10 n + 18 n

Add similar elements:

4 n^{7} - 7 n^{7} = - 3 n^{7}

= - 3 n^{7} - 16 n^{6} + 10 n + 18 n

Add similar elements:

10 n + 18 n = 28 n

= - 3 n^{7} - 16 n^{6} + 28 n

\frac{x ^{2} - 18 x + 80}{x ^{2} - 16 x + 60}

\frac{x ^{2} - 3 x - 4}{x ^{2} + 4 x + 3}

(t^{2} + 2 t + 1)^{2}

2 (3^{x})

\frac{x ^{- 4}}{x ^{6}}

What is (10n+4n^7-5n^6)-(11n^6+7n^7-18n) ?
The solution to (10n+4n^7-5n^6)-(11n^6+7n^7-18n) is -3n^7-16n^6+28n