Question

Simplify the product. 3p^4(4p^4 + 7p^3 + 4p + 1)

Answer 1

12 p ^8 + 21 p ^7 + 12 p ^5 + 3 p^ 4

Explanation:

3p^4(4p^4 + 7p^3 + 4p + 1)

Simplify:

=12 p ^8 + 21 p ^7 + 12 p ^5 + 3 p^ 4

Answer 2

The answer to your question is 12p⁸ + 21p⁷ + 12p⁵ + 3p⁴

Explanation:

Product 3p⁴ ( 4p⁴ + 7p³ + 4p + 1)

Process

multiply 3p⁴ by each term

(3p⁴)(4p⁴) + (3p⁴)(7p³) + (3p⁴)(4p) + (1)(3p⁴)

Simplify

(12p⁴⁺⁴) + (21p⁴ ⁺³) + (12p⁴⁺¹) + (3p⁴)

Result

12p⁸ + 21p⁷ + 12p⁵ + 3p⁴