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Chapter 6: Problem 43

Simplify each algebraic expression. \(5 x^{2}-8 x^{2}\)

Short Answer

Expert verified
The expression simplified by combining like terms is \(-3x^{2}\).

Step by step solution

01

Identify Like Terms

In the given expression, \(5x^{2}\) and \(-8x^{2}\) are like terms because they have the same variable factor, which is \(x^{2}\).
02

Combine Like Terms

Now, combine the coefficients of the like terms. The coefficient of the first term is 5 and that of the second is -8. So, to combine them you just need to subtract 8 from 5, which gives \((5 - 8)x^{2}\).
03

Calculation

Perform the subtraction to get the final result. So, \((5 - 8)x^{2} = -3x^{2}\).

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Most popular questions from this chapter

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