Question

Solve expression using PEMDAS and Distribution
3 (x+5)

Answer 1

`\huge\textbf{Hey there!}`

`\huge\text{Formula for distributive property}`

`\large\textbf{a(b + c)}`

`\large\textbf{= a(b) + a(c)}`

`\large\textbf{= ab + ac}`

`\huge\textsf{Now, we can answer your question}`

`\large\textbf{3(x + 5)}`

`\huge\textsf{DISTRIBUTE 3 WITHIN the PARENTHESES}`

`\large\textbf{= 3(x) + 3(5)}`

`\huge\textsf{SIMPLIFY IT!}`

`\large\textbf{= 3x + 5}`

`\huge\textsf{Therefore, your answer is: \boxed{\mathsf{3x + 15}}\huge\checkmark}`

~
`\frak{Amphitrite1040:)}`

Answer 2

PEMDAS stand for Parentheses, Exponent, Multiplication, Division, Addition, and Subtraction.

3(x+5)

In this expression, we cannot perform any operation within the parentheses so we move to the next operation in the expression which is multiplication.

3(x+5)
becomes:
3x + 3(5)
3x + 15

We need to look for the value of x.

3x + 15 = 0
3x = -15
3x/3 = -15/3
x = -5

We need to substitute x by its value.

3(x + 5)
3(-5 + 5)

we can perform the P in PEMDAS
3(0) = 0

multiply.
3(0) = 0
0 = 0

Rule of zero. any number multiplied by zero is equal to zero.