Solve 4x^2-20x^24x^4-6x^3⋅x^2-362x^26x-36

Question

Simplify the expression

4 x^{2} - 80 x^{6} - 6 x^{5} - 2172 x^{3} - 36

Evaluate

4 x^{2} - 20 x^{2} \times 4 x^{4} - 6 x^{3} \times x^{2} - 362 x^{2} \times 6 x - 36

Multiply

More Steps

Multiply the terms

- 20 x^{2} \times 4 x^{4}

Multiply the terms

- 80 x^{2} \times x^{4}

Multiply the terms with the same base by adding their exponents

- 80 x^{2 + 4}

Add the numbers

- 80 x^{6}

4 x^{2} - 80 x^{6} - 6 x^{3} \times x^{2} - 362 x^{2} \times 6 x - 36

Multiply

More Steps

Multiply the terms

- 6 x^{3} \times x^{2}

Multiply the terms with the same base by adding their exponents

- 6 x^{3 + 2}

Add the numbers

- 6 x^{5}

4 x^{2} - 80 x^{6} - 6 x^{5} - 362 x^{2} \times 6 x - 36

Solution

More Steps

Multiply the terms

- 362 x^{2} \times 6 x

Multiply the terms

- 2172 x^{2} \times x

Multiply the terms with the same base by adding their exponents

- 2172 x^{2 + 1}

Add the numbers

- 2172 x^{3}

4 x^{2} - 80 x^{6} - 6 x^{5} - 2172 x^{3} - 36

Show Solution

2 (2 x^{2} - 40 x^{6} - 3 x^{5} - 1086 x^{3} - 18)

Evaluate

4 x^{2} - 20 x^{2} \times 4 x^{4} - 6 x^{3} \times x^{2} - 362 x^{2} \times 6 x - 36

Multiply

More Steps

Multiply the terms

20 x^{2} \times 4 x^{4}

Multiply the terms

80 x^{2} \times x^{4}

Multiply the terms with the same base by adding their exponents

80 x^{2 + 4}

Add the numbers

80 x^{6}

4 x^{2} - 80 x^{6} - 6 x^{3} \times x^{2} - 362 x^{2} \times 6 x - 36

Multiply

More Steps

Multiply the terms

6 x^{3} \times x^{2}

Multiply the terms with the same base by adding their exponents

6 x^{3 + 2}

Add the numbers

6 x^{5}

4 x^{2} - 80 x^{6} - 6 x^{5} - 362 x^{2} \times 6 x - 36

Multiply

More Steps

Multiply the terms

362 x^{2} \times 6 x

Multiply the terms

2172 x^{2} \times x

Multiply the terms with the same base by adding their exponents

2172 x^{2 + 1}

Add the numbers

2172 x^{3}

4 x^{2} - 80 x^{6} - 6 x^{5} - 2172 x^{3} - 36

Solution

2 (2 x^{2} - 40 x^{6} - 3 x^{5} - 1086 x^{3} - 18)

Show Solution