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What is the value of
y^(2)-x^(2) when
x=5 and
y=6 ?

What is the value of $y^{2}-x^{2}$ when $x=5$ and $y=6$ ?

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Unions and intersections of sets

Full solution

Q. What is the value of

y^{2}-x^{2}

when

x=5

and

y=6

?

Identify Given Values: We are given: $\newline$ $x = 5$ $\newline$ $y = 6$ $\newline$ Expression = $y^{2} - x^{2}$ $\newline$ Identify the expression after substituting the value of $x$ and $y$ . $\newline$ Substitute $5$ for $x$ and $6$ for $y$ in $y^{2} - x^{2}$ . $\newline$ $y = 6$ $0$
Calculate Square of $y$ : Calculate the square of $y$ (which is $6$ ). $\newline$ $6^{2} = 6 \times 6$ $\newline$ $= 36$
Calculate Square of x: Calculate the square of $x$ (which is $5$ ). $\newline$ $5^{2} = 5 \times 5$ $\newline$ $= 25$
Subtract Squares: Subtract the square of $x$ from the square of $y$ . $\newline$ $36 - 25$ $\newline$ $= 11$

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