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

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

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

simplify

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

6 m^{2} - 9 mn

Solution steps

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

Apply rule:

(a) = a

(m^{2} - n^{2} - 3 mn) = m^{2} - n^{2} - 3 mn

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

Apply the distributive law:

- (- a - b) = a + b

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

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

Group like terms

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

Add similar elements:

m^{2} + 5 m^{2} = 6 m^{2}

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

Add similar elements:

- n^{2} + n^{2} = 0

= 6 m^{2} - 3 mn - 6 mn

Add similar elements:

- 3 mn - 6 mn = - 9 mn

= 6 m^{2} - 9 mn

cos^{2} (3 x) - sin^{2} (3 x)

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

2 x - 6 y - 2 x - 3 y - 5 y

lo g_{3} (\frac{a ^{5} b}{c ^{2}})

\frac{70}{200}

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