Question

Simplify 3(x - 6) - 4(x + 3).A)-x - 30B)-x - 9C)-x - 6D)-x2 - 30

Answer 1

`\huge\boxed{\boxed{\huge \sf- x - 30}}`

`\boxed{\bf \: Option \: A}`

Explanation:

Given expression :

`\tt3(x - 6) - 4(x + 3)`

We need to find the expression which is equivalent to the given expression.

Solution :

`\tt 3(x - 6) - 4(x + 3)`

`\underline{\rm \: Apply \: Distributive \: property:-}`

`\tt = 3(x) + 3 * ( - 6) + ( - 4)(x )+ ( - 4)(3)`

`\tt = 3x + ( - 18) + ( - 4x) + ( - 12)`

`\rm \: This\; expression \: may \: be \: rewritten\; as,`

`\tt = 3x + ( - 4x) + ( - 18) + ( - 12)`

`\underline{\rm \: Combine \: like \: terms:-}`

`\tt = - x + ( - 18 + ( - 12)`

`\tt = - x + ( - 18 - 12)`

`\tt = - x + (- 30)`

`\tt = - x - 30`

This matches with Option A.

Hence, the expression which is equivalent to the given expression would be,

`\boxed{\sf - x - 30}`

Option A is correct!

`\rule{225pt}{2pt}`

I hope this helps!

Let me know if you have any questions.

Answer 2

Simplify :

• 3(x - 6) - 4(x + 3)

Options :

1. -x - 30
2. -x - 9
3. -x - 6
4. -x² - 30

Answer :

• Option 1(A)

`\:`

Solution :

3(x - 6) - 4(x + 3)

• By applying the distributive property we get

➟ 3x - 18 - 4x + (-12)

⠀

Combining the like terms : [In the given expression, the terms having the same literal factors are called like terms]

➟ 3x - 18 - 4x + (-12)

➟ 3x - 4x - (18 + 12)

➟ -x - 30

Hence , the required answer is Option A (1) .