Question

What is eqivelent to 3(5x-2)

Answer 1

`\sf \: 15x - 6`

Explanation:

Now we have to,

→ Find the equivalent expression.

The property we use,

→ Distributive property.

The expression is,

→ 3(5x - 2)

Let's simplify the expression,

→ 3(5x - 2)

→ 3(5x) + 3(-2)

→ 3(5x) - 3(2)

→ 15x - 6

Hence, the answer is 15x - 6.

Answer 2

`\large\boxed{\sf 15x-6}`

Explanation:

`\textsf{We are asked to identify an equivalent expression given one. When we are asked}`

`\textsf{to find an equivalent expression, check to see if the expression you're given}`

`\textsf{can be simplified further.} \ \sf 3(5x-2) \ \textsf{can be simplified further using the}`

`\textsf{\underline{Distributive Property.}}`

`\large\underline{\textsf{What is the Distributive Property?}}`

`\textsf{Think of Distributive Property as a way or Distributing 1 or more terms into 2 or}`

`\textsf{more terms.}`

`\boxed{\begin{minipage}{18 em} \\ \underline{\textsf{\large Distributive Property;}} \\ \\ \textsf{Distributive Property is a property that allows us to multiply the term to the left of the parentheses by the terms inside the parentheses.} \\ \\ \underline{\textsf{\large Example;}} \\ \tt a(b+c)=ab+ac \\ \textsf{For this example, a will multiply with the terms b and c.}\end{minipage}}`

`\textsf{Since we have an understanding of what the Distributive Property is, we should}`

`\textsf{be able to simplify our given expression.}`

`\large\underline{\textsf{Solving;}}`

`\textsf{Use the Distributive Property.}`

`\sf 3(5x-2) = (3 * 5x) +(3 * -2)`

`\textsf{Since 3 is the term to the left of the parentheses, we multiply 3 by 5x and -2.}`

`\sf (3 * 5x) +(3 * -2) \rightarrow \boxed{\sf 15x - 6}`

`\large\underline{\textsf{Hence;}}`

`\sf 3(5x-2) = \boxed{\sf 15x-6}`

`\sf 15x - 6 \textsf{ is equivalent to} \ \sf 3(5x-2).`