What is (13m^4+2)+(m^4n^2+2-2m^4)-(-13m^2n^3+5m^4) ?

The solution to (13m^4+2)+(m^4n^2+2-2m^4)-(-13m^2n^3+5m^4) is 13m^2n^3+6m^4+m^4n^2+4

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simplify (13m^4+2)+(m^4n^2+2-2m^4)-(-13m^2n^3+5m^4)

simplify

(13 m^{4} + 2) + (m^{4} n^{2} + 2 - 2 m^{4}) - (- 13 m^{2} n^{3} + 5 m^{4})

13 m^{2} n^{3} + 6 m^{4} + m^{4} n^{2} + 4

Solution steps

(13 m^{4} + 2) + (m^{4} n^{2} + 2 - 2 m^{4}) - (- 13 m^{2} n^{3} + 5 m^{4})

Simplify

(13 m^{4} + 2) + (m^{4} n^{2} + 2 - 2 m^{4}) - (- 13 m^{2} n^{3} + 5 m^{4}) : 13 m^{4} + 2 + m^{4} n^{2} + 2 - 2 m^{4} - (- 13 m^{2} n^{3} + 5 m^{4})

= 13 m^{4} + 2 + m^{4} n^{2} + 2 - 2 m^{4} - (- 13 m^{2} n^{3} + 5 m^{4})

Group like terms

= - (- 13 m^{2} n^{3} + 5 m^{4}) + 13 m^{4} - 2 m^{4} + m^{4} n^{2} + 2 + 2

Add similar elements:

13 m^{4} - 2 m^{4} = 11 m^{4}

= - (- 13 m^{2} n^{3} + 5 m^{4}) + 11 m^{4} + m^{4} n^{2} + 2 + 2

Add the numbers:

2 + 2 = 4

= - (- 13 m^{2} n^{3} + 5 m^{4}) + 11 m^{4} + m^{4} n^{2} + 4

Apply the distributive law:

- (- a + b) = a - b

- (- 13 m^{2} n^{3} + 5 m^{4}) = 13 m^{2} n^{3} - 5 m^{4}

= 13 m^{2} n^{3} - 5 m^{4} + 11 m^{4} + m^{4} n^{2} + 4

Add similar elements:

- 5 m^{4} + 11 m^{4} = 6 m^{4}

= 13 m^{2} n^{3} + 6 m^{4} + m^{4} n^{2} + 4

22500 - 740 x = 15200 + 1500 x

(x + 8)^{2} - 4

\frac{x}{4} = 12

4 (3 x - 1) + 7 - x = 2 x + 3 + 9 x

n^{2} + 12 n + 11

What is (13m^4+2)+(m^4n^2+2-2m^4)-(-13m^2n^3+5m^4) ?
The solution to (13m^4+2)+(m^4n^2+2-2m^4)-(-13m^2n^3+5m^4) is 13m^2n^3+6m^4+m^4n^2+4