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

The solution to (3n^2-2x+5m)-(-3x+5m-3n^2)+n^2-x+m is 7n^2+m

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simplify (3n^2-2x+5m)-(-3x+5m-3n^2)+n^2-x+m

simplify

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

7 n^{2} + m

Solution steps

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

Apply rule:

(a) = a

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

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

Group like terms

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

Add similar elements:

3 n^{2} + n^{2} = 4 n^{2}

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

Add similar elements:

- 2 x - x = - 3 x

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

Add similar elements:

5 m + m = 6 m

= - (- 3 x + 5 m - 3 n^{2}) + 4 n^{2} - 3 x + 6 m

Apply the distributive law:

- (- a + b) = a - b

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

= 3 x - 5 m + 3 n^{2} + 4 n^{2} - 3 x + 6 m

Add similar elements:

3 n^{2} + 4 n^{2} = 7 n^{2}

= 3 x - 5 m + 7 n^{2} - 3 x + 6 m

Group like terms

= 7 n^{2} + 3 x - 3 x - 5 m + 6 m

Add similar elements:

3 x - 3 x = 0

= 7 n^{2} - 5 m + 6 m

Add similar elements:

- 5 m + 6 m = m

= 7 n^{2} + m

(x - \frac{1}{2} y + \frac{1}{3} z)^{2}

c^{1} (x - 3)^{2}

c^{4} - 4 d^{4}

lo g_{10} (x^{3}) sin (x)

77 x^{4} - 72 x^{2} - 77

What is (3n^2-2x+5m)-(-3x+5m-3n^2)+n^2-x+m ?
The solution to (3n^2-2x+5m)-(-3x+5m-3n^2)+n^2-x+m is 7n^2+m