Question

3p4 ( 4p4 + 7p3 + 1 )

Answer 1

$3p^4 (4p^4 + 7p^3 + 1) \\ \\ 3p^4 \times 4p^4 + 3p^4 \times 7p^3 + 3p^4 \\ \\ 3 \times 4p^4p^4 + 3p^4 \times 7p^3 + 3p^4 \\ \\ 3 \times 4p^{4 + 4} + 3p^4 \times 7p^3 + 3p^4 \\ \\ 3 \times 4p^8 + 3p^4 \times 7p^3 + 3p^4 \\ \\ 12p^8 + 3p^4 \times 7p^3 + 3p^4 \\ \\ 12p^8 + 3 \times 7p^4p^4 + 3p^4 \\ \\ 12p^8 + 3 \times 7p^{4 + 3} + 3p^4 \\ \\ 12p^8 + 3 \times 7p^7 + 3p^4 \\ \\ 12p^8 + 21p^7 + 3p^4$

The answer is: 12p^8 + 21p^7 + 3p^4.

Answer 2

3p⁴(4p⁴ + 7p³ + 1)
3p⁴(4p⁴) + 3p⁴(7p⁴) + 3p⁴(1)
12p⁸ + 21p⁷ + 3p⁴