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Chapter 3: Problem 51

Evaluate the variable expression for \(a=-2, b=4, c=-1,\) and \(d=3\) $$(b+d)^{2}-4 a$$

Short Answer

Expert verified
The evaluated variable expression for \(a=-2, b=4, c=-1,\) and \(d=3\) is \(57\)

Step by step solution

01

Substituting the given values

Substitute the given values into the expression. So, we have \((4+3)^{2} -4*(-2)\)
02

Simplify inside the parentheses

Compute the addition inside the parentheses. So, we have \((7)^{2} -4*(-2)\)
03

Square the value and simplify the expression

Compute the square of 7 and multiply 4 and -2. Then the expression will look like \(49 -(-8)\)
04

Simplify the expression

Subtracting a negative will result in addition. Therefore, the expression simplifies to \(49+8\)
05

Final Calculation

Perform final addition to get \(57\)

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