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Which of the following expressions is equivalent to
-2xy+18 ?
Choose 1 answer:
(A)
-2(xy-9)
(B)
-2(xy+9)
(C)
2(xy-9)
(D)
2(xy+9)

Which of the following expressions is equivalent to $-2 x y+18$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $-2(x y-9)$ $\newline$ (B) $-2(x y+9)$ $\newline$ (C) $2(x y-9)$ $\newline$ (D) $2(x y+9)$

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Mean, median, mode, and range: find the missing number

Full solution

Q. Which of the following expressions is equivalent to

-2 x y+18

?

\newline

Choose

1

answer:

\newline

(A)

-2(x y-9)

\newline

(B)

-2(x y+9)

\newline

(C)

2(x y-9)

\newline

(D)

2(x y+9)

Identify Common Factor: To find an expression equivalent to $-2xy + 18$ , we need to factor out the common factor if possible. Let's start by identifying the common factor in $-2xy$ and $+18$ .
Factor Out $-2$ : The common factor in both terms is $-2$ . We can factor $-2$ out of both $-2xy$ and $+18$ .
Combine Factors: Factoring $-2$ out of $-2xy$ gives us $-2 \times (xy)$ . Factoring $-2$ out of $+18$ gives us $-2 \times (-9)$ . So, when we factor $-2$ out of the entire expression $-2xy + 18$ , we get $-2 \times (xy - 9)$ .
Final Equivalent Expression: Therefore, the expression that is equivalent to $-2xy + 18$ is $-2(xy - 9)$ , which matches option (A) $-2(xy-9)$ .

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