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Nutka1998 [239]
3 years ago
7

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

Mathematics
2 answers:
Lady bird [3.3K]3 years ago
8 0

Answer:

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

Step-by-step 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                                    

densk [106]3 years ago
3 0

Answer:

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

Step-by-step explanation:

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

Simplify:

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

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Step-by-step explanation:

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Read 2 more answers
WILL MARK BRAINLIEST
Nutka1998 [239]

Answer:

a² + b² = 68

a3 + b3 = 520

Step-by-step explanation:

Given :

a + b = 10 (1)

ab = 16 (2)

A. Find a² + b²

(a + b)² = a² + 2ab + b² (3)

Substitutite the values of (1) and (2) into (3)

(10)² = a² + 2(16) + b²

100 = a² + 32 + b²

Subtract 32 from both sides

100 - 32 = a² + b²

a² + b² = 68

B. a^3 + b^3

(a + b)^3 = a^3 + b^3 + 3ab(a + b)

(10)^3 = a^3 + b^3 + 3*16(10)

1000 = a^3 + b^3 + 480

a^3 + b^3 = 1000 - 480

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