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3 votes
64 = 4(p + 2) + 24 please solve step by step

2 Answers

1 vote

Answer:

p = 8

Explanation:

64 = 4(p+2) + 24

64 = 4p + 8 + 24

64 = 4p + 32

32 = 4p

I substracted 32 from 64, and 32 deletes him self

8

I divided 32 by 4, and the 4p deletes himself

p = 8

User Stephjang
by
8.3k points
4 votes

Answer:

8

Explanation:

Step-1 : Multiply the coefficient of the first term by the constant 1 • -16 = -16

Step-2 : Find two factors of -16 whose sum equals the coefficient of the middle term, which is 6 .

-16 + 1 = -15

-8 + 2 = -6

-4 + 4 = 0

-2 + 8 = 6 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -2 and 8

p2 - 2p + 8p - 16

Step-4 : Add up the first 2 terms, pulling out like factors :

p • (p-2)

Add up the last 2 terms, pulling out common factors :

8 • (p-2)

Step-5 : Add up the four terms of step 4 :

(p+8) • (p-2)

Which is the desired factorization

User Rob Porter
by
8.0k points