Problem 24 Evaluate the algebraic expressio... [FREE SOLUTION]

Chapter 6: Problem 24

Evaluate the algebraic expression for the given value or values of the variables. \(x^{2}-4(x-y) ; \quad x=3, y=8\)

Expert verified

The value of the given algebraic expression for x = 3 and y = 8 is 29.

The algebraic expression is \(x^{2}-4(x-y)\). Substitute x = 3 and y = 8 into this expression to get \((3)^{2} - 4(3-8)\)

Working the expression from left to right using the BODMAS rule, subtract 3 from 8 to get \((3)^{2}- 4(-5)\)

Now calculate three squared, which will give \(9-4(-5)\)

Multiply 4 by -5, we get \(9 - (-20)\)

Simplify the expression with subtraction, we get \(9+20\) which is 29.

The final simplified equation is equal to 29. Thus the value of the given algebraic expression for x = 3 and y = 8 is 29.

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