Question

If x=3 and y=4,which expression below has the largest value?

A.

`{x}y^(2)`
B.

`x {}^(2) y`
C.

`{x}^(2) + {y}^(2)`
D.

`{x}^(2) - {y}^(2)`
​

Answer 1

Answer: Choice A

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Step-by-step explanation:

Let's plug x = 3 and y = 4 into the expression for choice A.

`xy^2 = 3*4^2 = 3*16 = 48`

Then repeat for the expression in choice B

`x^2y = 3^2*4 = 9*4 = 36`

So far, the result for choice A is larger.

Now let's check choice C

`x^2+y^2 = 3^2+4^2 = 9+16 = 25`

Choice A is still the largest

and lastly choice D

`x^2-y^2 = 3^2-4^2 = 9-16 = -7`

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The summary of values we got were

• A = 48
• B = 36
• C = 25
• D = -7

Choice A is the largest, while choice D is the smallest.