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If
x^(2)-2xy+y^(2)=25, then
x-y=
(a) 25
(b) -5
(c) 5
(d)
+-5

Galaxy Note10 Lite

$3$ ) If $x^{2}-2 x y+y^{2}=25$ , then $x-y=$ $\newline$ (a) $25$ $\newline$ (b) $-5$ $\newline$ (c) $5$ $\newline$ (d) $\pm 5$ $\newline$ Galaxy Note $10$ Lite

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Transformations of functions

Full solution

Q.

3

) If

x^{2}-2 x y+y^{2}=25

, then

x-y=

\newline

(a)

25

\newline

(b)

-5

\newline

(c)

5

\newline

(d)

\pm 5

\newline

Galaxy Note

10

Lite

Recognize pattern in equation: Recognize the pattern in the equation $x^2 - 2xy + y^2$ . The given equation resembles the formula for the square of a binomial $(a - b)^2 = a^2 - 2ab + b^2$ . Here, $a = x$ and $b = y$ , so the equation can be rewritten as $(x - y)^2 = 25$ .
Rewrite equation as square: Take the square root of both sides of the equation to solve for $x - y$ . $\newline$ Since $(x - y)^2 = 25$ , we have $x - y = \pm\sqrt{25}$ .
Take square root to solve: Calculate the square root of $25$ . $\newline$ The square root of $25$ is $5$ , so $x - y = \pm 5$ .

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