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How do you combine #3( x - 4y ) + 2( x + 3y )#?

Answer 1

See a solution process below:

First, expand the terms in parenthesis by multiplying each term within the parenthesis by the term outside the parenthesis:

#color(red)(3)(x - 4y) + color(blue)(2)(x + 3y) =>#

#(color(red)(3) xx x) - (color(red)(3) xx 4y) + (color(blue)(2) xx x) + (color(blue)(2) xx 3y) =>#

#3x - 12y + 2x + 6y#

Next, group like terms:

#3x + 2x - 12y + 6y#

Now, combine like terms:

#(3 + 2)x + (-12 + 6)y#

#5x + (-6)y#

#5x - 6y#

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Answer 2

Hazel Anglin

To combine the expression (3(x - 4y) + 2(x + 3y)), you need to distribute the coefficients and then combine like terms:

(3(x - 4y) + 2(x + 3y))

(= 3x - 12y + 2x + 6y)

Now, combine like terms:

(= (3x + 2x) + (-12y + 6y))

(= 5x - 6y)

So, (3(x - 4y) + 2(x + 3y)) simplifies to (5x - 6y).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.