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Chapter 6: Problem 44

Simplify each algebraic expression. \(7 x^{2}-10 x^{2}\)

Short Answer

Expert verified
The simplified form of the algebraic expression is \(17 x^{2}\).

Step by step solution

01

Identify Like Terms

In this expression, the like terms are \(7 x^{2}\) and \(-10 x^{2}\). Both terms are multiples of \(x^{2}\), therefore they are like terms.
02

Combine Like Terms

To combine the like terms, just subtract the coefficient of the second term from the first one: \(7 - (-10) = 7 + 10\).
03

Calculate the Result

After doing the subtraction, we get \(17\). So, the simplified form of the expression is \(17 x^{2}\).

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Most popular questions from this chapter

Use FOIL to find the products. \((2 x-9)(7 x-4)\)

Solve each equation by the method of your choice. \((2 x-6)(x+2)=5(x-1)-12\)

Solve the quadratic equations by factoring. \(x^{2}-4 x=21\)

Factor the trinomials , or state that the trinomial is prime. Check your factorization using FOIL multiplication. \(x^{2}-14 x+45\)

Determine whether each statement makes sense or does not make sense, and explain your reasoning. I began the solution of \(5-3(x+2)>10 x\) by simplifying the left side, obtaining \(2 x+4>10 x\).
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