Question

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

Answer 1

Simplify :

• 3(x - 6) - 4(x + 3)

Options :

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

Answer :

• Option 2(B)

$\:$

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 B (2) .

Answer 2

Answer:

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

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

Step-by-step explanation:

Given expression :

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

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

Solution :

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

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

$\tt = 3(x) + 3 \times ( - 6) + ( - 4)(x )+ ( - 4)(3)$

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

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

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

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

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

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

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

$\tt = - x - 30$

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.