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Which is the factored form of 64p3 + 125?
Select one:
O a. (4p + 5)2
O b. (4p + 5)(16p? + 20p + 25)
O c. (4p - 5)(16p² – 20p + 25)
O d. (4p + 5)(16p– 20p + 25)

Respuesta :

pulamigomarana

Answer:

q .no d

Step-by-step explanation:

64p^3+125

4p^3+ 5^3

(4p+ 5 ) ( 4p^2- 4p *5 + 5^2)

(4p+5) (16p- 20p+ 25)

Stephen46

Answer:

The answer is

(4p + 5)( 16p² - 20p + 25)

Step-by-step explanation:

64p³ + 125

Write the number in exponential form of 3

That's

4³p³ + 5³

Multiply the terms

That's

(4p)³ + 5³

Using the formula

a³ + b³ = ( a + b)(a² - ab + b²)

Factor the expression

That's

( 4p + 5 )[ (4p)² - 4p(5) + 5²) ]

Solve the terms in the bracket

We have the final answer as

(4p + 5)( 16p² - 20p + 25)

Hope this helps you

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