Solve 5x^4 x^2-2x^6-(-5x^4 x^3 3x^2-3)

Question

Simplify the expression

3 x^{6} + 15 x^{9} + 3

Evaluate

5 x^{4} \times x^{2} - 2 x^{6} - (- 5 x^{4} \times x^{3} \times 3 x^{2} - 3)

Multiply

More Steps

Multiply the terms

- 5 x^{4} \times x^{3} \times 3 x^{2}

Multiply the terms

- 15 x^{4} \times x^{3} \times x^{2}

Multiply the terms with the same base by adding their exponents

- 15 x^{4 + 3 + 2}

Add the numbers

- 15 x^{9}

5 x^{4} \times x^{2} - 2 x^{6} - (- 15 x^{9} - 3)

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

5 x^{4} \times x^{2} - 2 x^{6} + 15 x^{9} + 3

Multiply

More Steps

Multiply the terms

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

Multiply the terms with the same base by adding their exponents

5 x^{4 + 2}

Add the numbers

5 x^{6}

5 x^{6} - 2 x^{6} + 15 x^{9} + 3

Solution

More Steps

Evaluate

5 x^{6} - 2 x^{6}

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

(5 - 2) x^{6}

Subtract the numbers

3 x^{6}

3 x^{6} + 15 x^{9} + 3

Show Solution

Factor the expression

3 (x^{6} + 5 x^{9} + 1)

Evaluate

5 x^{4} \times x^{2} - 2 x^{6} - (- 5 x^{4} \times x^{3} \times 3 x^{2} - 3)

Multiply

More Steps

Multiply the terms

- 5 x^{4} \times x^{3} \times 3 x^{2}

Multiply the terms

- 15 x^{4} \times x^{3} \times x^{2}

Multiply the terms with the same base by adding their exponents

- 15 x^{4 + 3 + 2}

Add the numbers

- 15 x^{9}

5 x^{4} \times x^{2} - 2 x^{6} - (- 15 x^{9} - 3)

Multiply

More Steps

Multiply the terms

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

Multiply the terms with the same base by adding their exponents

5 x^{4 + 2}

Add the numbers

5 x^{6}

5 x^{6} - 2 x^{6} - (- 15 x^{9} - 3)

Subtract the terms

More Steps

Simplify

5 x^{6} - 2 x^{6}

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

(5 - 2) x^{6}

Subtract the numbers

3 x^{6}

3 x^{6} - (- 15 x^{9} - 3)

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

3 x^{6} + 15 x^{9} + 3

Solution

3 (x^{6} + 5 x^{9} + 1)

Show Solution