Question

Simplify: (2x - 4) - (6x + 6)

Answer 1

(2x - 4) - (6x + 6) = -2( 2x + 5 )

Further explanation

Order of Operations in Mathematics follow this following rule :

1. Parentheses
2. Exponents
3. Multiplication and Division
4. Addition and Subtraction

This rule is known as the PEMDAS method.

Let us tackle the problem!

$(2x - 4) - (6x +6) = 2x - 4 - 6x - 6$ ⇒ open parenthesis

$(2x - 4) - (6x +6) = 2x - 6x - 4 - 6$ ⇒ rearrange term

$(2x - 4) - (6x +6) = (2 - 6)x - 10$ ⇒ factorize

$(2x - 4) - (6x +6) = -4x - 10$

$\large {\boxed {(2x - 4) - (6x +6) = -2( 2x + 5 ) } }$

Another Example :

$(2x - 4) + (6x +6) = 2x - 4 + 6x + 6$ ⇒ open parenthesis

$(2x - 4) + (6x +6) = 2x + 6x - 4 + 6$ ⇒ rearrange term

$(2x - 4) + (6x +6) = (2 + 6)x + 2$ ⇒ factorize

$(2x - 4) + (6x +6) = 8x + 2$

$\large {\boxed {(2x - 4) + (6x +6) = 2( 4x + 1 ) } }$

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Answer details

Grade: High School

Subject: Mathematics

Chapter: Linear Equations

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point

Answer 2

Simplification of expression can be done using BODMAS rule. The simplified expression for given expression $(2x-4)-(6x+6)$ is $(-4x-10)$.

Given information:

The expression $(2x-4)-(6x+6)$

Simplify the above expression by following the simplification followed by opening the brackets then simplify the addition, subtraction , multiplication and division required according to the expression.

Follow the following steps to simplify the given expression:

• Open the brackets.
• Perform general mathematical operations.
• Write the simplified expression in general order.

On solving the expression by opening the brackets as:

$=(2x-4)-(6x+6)\\\\=2x-4-6x-6\\\\=-4x-10$

Hence, the simplified expression for given expression is:

$(-4x-10)$

For more information visit:

https://brainly.com/question/16698290