Question

Simplify the expression below
5/6 (12p - 42)

Answer 1

• 
  `\boxed{\sf{10p-35}}`

Explanation:

Use the distributive property.

Distributive property:

A(B-C)=AB-AC

A(B+C)=AB+AC

`\sf{(5)/(6)=(12p-42) }`

Multiply by expand.

`\Longrightarrow: \sf{(5)/(6)\cdot \:12p-(5)/(6)\cdot \:42}`

Solve.

5/6*12p=10p

5/6*42=36

Use the order of operations.

PEMDAS stands for:

• Parentheses
• Exponents
• Multiply
• Divide
• Add
• Subtract

`\sf{(5)/(6)\cdot (42)/(1)=(5*42)/(6) }`

Divide.

42/6=7

Multiply.

5*7=35

Subtract.

35-35=0

`\Longrightarrow: \boxed{\sf{10p-35}}`

Therefore, the correct answer is 10p-35.

I hope this helps. Let me know if you have any questions.

Answer 2

`10p - 35`

Explanation:

Step 1: Distribute

`(5)/(6)(12p - 42)`

`((5)/(6)*12p) + ((5)/(6) * (-42))`

`(60p)/(6)-(210)/(6)`

Step 2: Simplify the expression

`(60p)/(6)-(210)/(6)`

`10p - 35`

Answer:
`10p - 35`