Solve (6z^14 6z^8-z^6-8z) - (11z^2 7z^8-6z^6-4z)

Question

Simplify the expression

276 z^{9} + 5 z^{6} - 4 z - 77 z^{10}

Evaluate

(6 z \times 46 z^{8} - z^{6} - 8 z) - (11 z^{2} \times 7 z^{8} - 6 z^{6} - 4 z)

Multiply

More Steps

Multiply the terms

6 z \times 46 z^{8}

Multiply the terms

276 z \times z^{8}

Multiply the terms with the same base by adding their exponents

276 z^{1 + 8}

Add the numbers

276 z^{9}

(276 z^{9} - z^{6} - 8 z) - (11 z^{2} \times 7 z^{8} - 6 z^{6} - 4 z)

Remove the parentheses

276 z^{9} - z^{6} - 8 z - (11 z^{2} \times 7 z^{8} - 6 z^{6} - 4 z)

Multiply

More Steps

Multiply the terms

11 z^{2} \times 7 z^{8}

Multiply the terms

77 z^{2} \times z^{8}

Multiply the terms with the same base by adding their exponents

77 z^{2 + 8}

Add the numbers

77 z^{10}

276 z^{9} - z^{6} - 8 z - (77 z^{10} - 6 z^{6} - 4 z)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

276 z^{9} - z^{6} - 8 z - 77 z^{10} + 6 z^{6} + 4 z

Add the terms

More Steps

Evaluate

- z^{6} + 6 z^{6}

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

(- 1 + 6) z^{6}

Add the numbers

5 z^{6}

276 z^{9} + 5 z^{6} - 8 z - 77 z^{10} + 4 z

Solution

More Steps

Evaluate

- 8 z + 4 z

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

(- 8 + 4) z

Add the numbers

- 4 z

276 z^{9} + 5 z^{6} - 4 z - 77 z^{10}

Show Solution

Factor the expression

z (276 z^{8} + 5 z^{5} - 4 - 77 z^{9})

Evaluate

(6 z \times 46 z^{8} - z^{6} - 8 z) - (11 z^{2} \times 7 z^{8} - 6 z^{6} - 4 z)

Multiply

More Steps

Multiply the terms

6 z \times 46 z^{8}

Multiply the terms

276 z \times z^{8}

Multiply the terms with the same base by adding their exponents

276 z^{1 + 8}

Add the numbers

276 z^{9}

(276 z^{9} - z^{6} - 8 z) - (11 z^{2} \times 7 z^{8} - 6 z^{6} - 4 z)

Remove the parentheses

276 z^{9} - z^{6} - 8 z - (11 z^{2} \times 7 z^{8} - 6 z^{6} - 4 z)

Multiply

More Steps

Multiply the terms

11 z^{2} \times 7 z^{8}

Multiply the terms

77 z^{2} \times z^{8}

Multiply the terms with the same base by adding their exponents

77 z^{2 + 8}

Add the numbers

77 z^{10}

276 z^{9} - z^{6} - 8 z - (77 z^{10} - 6 z^{6} - 4 z)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

276 z^{9} - z^{6} - 8 z - 77 z^{10} + 6 z^{6} + 4 z

Add the terms

More Steps

Evaluate

- z^{6} + 6 z^{6}

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

(- 1 + 6) z^{6}

Add the numbers

5 z^{6}

276 z^{9} + 5 z^{6} - 8 z - 77 z^{10} + 4 z

Add the terms

More Steps

Evaluate

- 8 z + 4 z

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

(- 8 + 4) z

Add the numbers

- 4 z

276 z^{9} + 5 z^{6} - 4 z - 77 z^{10}

Rewrite the expression

z \times 276 z^{8} + z \times 5 z^{5} - z \times 4 - z \times 77 z^{9}

Solution

z (276 z^{8} + 5 z^{5} - 4 - 77 z^{9})

Show Solution