Solve 6m^4n-3m^2n-8m n^6m^4n-3m^2n-8m n

Question

Simplify the expression

6 m^{4} n - 6 m^{2} n - 8 m^{5} n^{7} - 8 mn

Evaluate

6 m^{4} n - 3 m^{2} n - 8 m n^{6} m^{4} n - 3 m^{2} n - 8 mn

Multiply

More Steps

Multiply the terms

- 8 m n^{6} m^{4} n

Multiply the terms with the same base by adding their exponents

- 8 m^{1 + 4} n^{6} \times n

Add the numbers

- 8 m^{5} n^{6} \times n

Multiply the terms with the same base by adding their exponents

- 8 m^{5} n^{6 + 1}

Add the numbers

- 8 m^{5} n^{7}

6 m^{4} n - 3 m^{2} n - 8 m^{5} n^{7} - 3 m^{2} n - 8 mn

Solution

More Steps

Evaluate

- 3 m^{2} n - 3 m^{2} n

Collect like terms by calculating the sum or difference of their coefficients

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

Subtract the numbers

- 6 m^{2} n

6 m^{4} n - 6 m^{2} n - 8 m^{5} n^{7} - 8 mn

Show Solution

2 mn (3 m^{3} - 3 m - 4 m^{4} n^{6} - 4)

Evaluate

6 m^{4} n - 3 m^{2} n - 8 m n^{6} m^{4} n - 3 m^{2} n - 8 mn

Multiply

More Steps

Multiply the terms

8 m n^{6} m^{4} n

Multiply the terms with the same base by adding their exponents

8 m^{1 + 4} n^{6} \times n

Add the numbers

8 m^{5} n^{6} \times n

Multiply the terms with the same base by adding their exponents

8 m^{5} n^{6 + 1}

Add the numbers

8 m^{5} n^{7}

6 m^{4} n - 3 m^{2} n - 8 m^{5} n^{7} - 3 m^{2} n - 8 mn

Subtract the terms

More Steps

Simplify

6 m^{4} n - 3 m^{2} n - 8 m^{5} n^{7} - 3 m^{2} n

Subtract the terms

More Steps

Evaluate

- 3 m^{2} n - 3 m^{2} n

Collect like terms by calculating the sum or difference of their coefficients

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

Subtract the numbers

- 6 m^{2} n

6 m^{4} n - 6 m^{2} n - 8 m^{5} n^{7}

6 m^{4} n - 6 m^{2} n - 8 m^{5} n^{7} - 8 mn

Rewrite the expression

2 mn \times 3 m^{3} - 2 mn \times 3 m - 2 mn \times 4 m^{4} n^{6} - 2 mn \times 4

Solution

2 mn (3 m^{3} - 3 m - 4 m^{4} n^{6} - 4)

Show Solution