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ype the correct answer in the box. Use numbers instead of words.An expression is shown.2โข(๐‘คโˆ’๐‘ฅ+๐‘ฆ)2What is the value of the expression forย ๐‘ค=โˆ’1,ย ๐‘ฅ=โˆ’2, andย ๐‘ฆ=3?ย The value of the expression isย .

Question

ype the correct answer in the box. Use numbers instead of words.An expression is shown.2โข(๐‘คโˆ’๐‘ฅ+๐‘ฆ)2What is the value of the expression forย ๐‘ค=โˆ’1,ย ๐‘ฅ=โˆ’2, andย ๐‘ฆ=3?ย The value of the expression isย .

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Solution

First, substitute the given values into the expression.

So, 2โข(๐‘คโˆ’๐‘ฅ+๐‘ฆ)2 becomes 2โข((-1) - (-2) + 3)2

Simplify the expression inside the parentheses first.

-1 - (-2) + 3 equals -1 + 2 + 3, which is 4.

So, the expression becomes 2 * (4)2

Then, square the value inside the parentheses.

4 squared is 16.

So, the expression becomes 2 * 16.

Finally, multiply 2 by 16 to get 32.

So, the value of the expression for ๐‘ค=โˆ’1, ๐‘ฅ=โˆ’2, and ๐‘ฆ=3 is 32.

This problem has been solved

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