What is (2mn-5mn^2+8m^2n)-(10mn+6m^2n-3mn^2+mn) ?

The solution to (2mn-5mn^2+8m^2n)-(10mn+6m^2n-3mn^2+mn) is -9mn-2mn^2+2m^2n

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simplify (2mn-5mn^2+8m^2n)-(10mn+6m^2n-3mn^2+mn)

simplify

(2 mn - 5 m n^{2} + 8 m^{2} n) - (10 mn + 6 m^{2} n - 3 m n^{2} + mn)

- 9 mn - 2 m n^{2} + 2 m^{2} n

Solution steps

(2 mn - 5 m n^{2} + 8 m^{2} n) - (10 mn + 6 m^{2} n - 3 m n^{2} + mn)

Apply rule:

(a) = a

(2 mn - 5 m n^{2} + 8 m^{2} n) = 2 mn - 5 m n^{2} + 8 m^{2} n

= 2 mn - 5 m n^{2} + 8 m^{2} n - (10 mn + 6 m^{2} n - 3 m n^{2} + mn)

Simplify

- (10 mn + 6 m^{2} n - 3 m n^{2} + mn) : - 11 mn - 6 m^{2} n + 3 m n^{2}

= 2 mn - 5 m n^{2} + 8 m^{2} n - 11 mn - 6 m^{2} n + 3 m n^{2}

Group like terms

= 2 mn - 11 mn - 5 m n^{2} + 3 m n^{2} + 8 m^{2} n - 6 m^{2} n

Add similar elements:

2 mn - 11 mn = - 9 mn

= - 9 mn - 5 m n^{2} + 3 m n^{2} + 8 m^{2} n - 6 m^{2} n

Add similar elements:

- 5 m n^{2} + 3 m n^{2} = - 2 m n^{2}

= - 9 mn - 2 m n^{2} + 8 m^{2} n - 6 m^{2} n

Add similar elements:

8 m^{2} n - 6 m^{2} n = 2 m^{2} n

= - 9 mn - 2 m n^{2} + 2 m^{2} n

\frac{1}{x + 1} + \frac{1}{x - 1}

- \frac{1}{2} \times 2

(4 - x^{2})^{3}

\frac{4}{5} \div \frac{2}{3}

(x + 6) (2 x^{2} - 4 x + 1)

What is (2mn-5mn^2+8m^2n)-(10mn+6m^2n-3mn^2+mn) ?
The solution to (2mn-5mn^2+8m^2n)-(10mn+6m^2n-3mn^2+mn) is -9mn-2mn^2+2m^2n