Rewrite in simplest terms: (x+4y)-(8x+7y) Answer:

Distribute Negative Sign: Distribute the negative sign to the terms inside the second parentheses. We need to apply the distributive property to the subtraction of the second set of parentheses. This means we will distribute the negative sign to both terms inside the parentheses, changing the signs of each term. (x + 4y) - (8x + 7y) becomes (x + 4y) - 8x - 7y.Combine Like Terms: Combine like terms. Now we combine the terms with x's together and the terms with y's together. x - 8x + 4y - 7yPerform Subtraction: Perform the subtraction for like terms. Subtract the coefficients of like terms. x - 8x = -7x and 4y - 7y = -3y So, the expression simplifies to -7x - 3y.

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Rewrite in simplest terms:
(x+4y)-(8x+7y)
Answer:

Rewrite in simplest terms: $(x+4 y)-(8 x+7 y)$ $\newline$ Answer:

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Algebra 2

Simplify variable expressions using properties

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Q. Rewrite in simplest terms:

(x+4 y)-(8 x+7 y)

\newline

Answer:

Distribute Negative Sign: Distribute the negative sign to the terms inside the second parentheses. $\newline$ We need to apply the distributive property to the subtraction of the second set of parentheses. This means we will distribute the negative sign to both terms inside the parentheses, changing the signs of each term. $\newline$ $(x + 4y) - (8x + 7y)$ becomes $(x + 4y) - 8x - 7y$ .
Combine Like Terms: Combine like terms. $\newline$ Now we combine the terms with $x$ 's together and the terms with $y$ 's together. $\newline$ $x - 8x + 4y - 7y$
Perform Subtraction: Perform the subtraction for like terms. $\newline$ Subtract the coefficients of like terms. $\newline$ $x - 8x = -7x$ and $4y - 7y = -3y$ $\newline$ So, the expression simplifies to $-7x - 3y$ .