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Simplify
-3/4(5p-12)+2(8-1/4p)

User Simon Zyx
by
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2 Answers

8 votes

Final answer:

The expression -3/4(5p-12)+2(8-1/4p) simplifies to -17/4p + 25 by distributing the constants, combining like terms, and eliminating terms where possible.

Step-by-step explanation:

To simplify the expression -3/4(5p-12)+2(8-1/4p), we will distribute the constants within the brackets:

Multiply -3/4 by 5p and -12 to get -15/4p + 9.

Multiply 2 by 8 and -1/4p to get 16 - 1/2p.

Now combine like terms:

-15/4p + 9 + 16 - 1/2p = (-15/4p - 1/2p) + (9 + 16)

To combine the p terms, we need a common denominator:

-15/4p - 2/4p = -17/4p

Add the constants:

9 + 16 = 25

So the expression simplifies to:

-17/4p + 25

Always remember to eliminate terms wherever possible to simplify the algebra and check the answer to see if it is reasonable.

User Gilead
by
7.6k points
0 votes

Answer:

-17p-100/4

Step-by-step explanation:

-17p-100/4

User Carl Karawani
by
7.9k points

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