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How do you simplify #(6) (3x-y) - (4)(2x+y)#?

Answer 1

Multiply the factors into each other using #x(a+b) = (ax+bx)#

This will give us the answer #10x - 10y or 10(x-y)#

To handle this type of multiplication, use this rule: #x(a+b) = (ax + bx)#

This gives us: #6(3x - y) - (4(2x + y))#

If you don't keep your tongue in your mouth, you might get a different answer! Recall to enclose the factors in parentheses after a minus sign.

Put the multiplicands between the parenthesis:

#(18x - 6y) - (8x + 4y)#

When you have a positive first set of parentheses, there is no need to change the sign inside the parentheses. On the other hand, when you have a negative second set of parentheses (which is indicated by the minus sign), you must change the sign inside the parentheses. This gives us:

#18x - 6y - 8x - 4y# #18x - 8x - 6y - 4y# #10x - 10y#

Finally, 10(x-y)

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Answer 2

Genesis Allen

To simplify the expression (6)(3x - y) - (4)(2x + y), distribute the constants and variables, then combine like terms:

= 18x - 6y - 8x - 4y = (18x - 8x) + (-6y - 4y) = 10x - 10y

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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.