What is (9mn-19m^4n)-(8m^2+12m^4n+9mn) ?

The solution to (9mn-19m^4n)-(8m^2+12m^4n+9mn) is -31m^4n-8m^2

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simplify (9mn-19m^4n)-(8m^2+12m^4n+9mn)

simplify

(9 mn - 19 m^{4} n) - (8 m^{2} + 12 m^{4} n + 9 mn)

- 31 m^{4} n - 8 m^{2}

Solution steps

(9 mn - 19 m^{4} n) - (8 m^{2} + 12 m^{4} n + 9 mn)

Apply rule:

(a) = a

(9 mn - 19 m^{4} n) = 9 mn - 19 m^{4} n

= 9 mn - 19 m^{4} n - (8 m^{2} + 12 m^{4} n + 9 mn)

Apply the distributive law:

- (a + b) = - a - b

- (8 m^{2} + 12 m^{4} n + 9 mn) = - 8 m^{2} - 12 m^{4} n - 9 mn

= 9 mn - 19 m^{4} n - 8 m^{2} - 12 m^{4} n - 9 mn

Group like terms

= 9 mn - 9 mn - 19 m^{4} n - 12 m^{4} n - 8 m^{2}

Add similar elements:

9 mn - 9 mn = 0

= - 19 m^{4} n - 12 m^{4} n - 8 m^{2}

Add similar elements:

- 19 m^{4} n - 12 m^{4} n = - 31 m^{4} n

= - 31 m^{4} n - 8 m^{2}

2 x^{2} \cdot 3 x^{2}

lo g_{10} (50000)

(5^{5})^{3}

\frac{2 + 5 i}{3 - 2 i}

5 lo g_{10} (x) - 2 lo g_{10} (4)

What is (9mn-19m^4n)-(8m^2+12m^4n+9mn) ?
The solution to (9mn-19m^4n)-(8m^2+12m^4n+9mn) is -31m^4n-8m^2