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Chapter 6: Problem 57

Simplify each algebraic expression. \(3\left(-4 x^{2}+5 x\right)-\left(5 x-4 x^{2}\right)\)

Short Answer

Expert verified
The simplified form of the given algebraic expression is \(-8x^{2} +10x\).

Step by step solution

01

Distributive Property

Firstly, distribute the -3 and -1 inside their respective brackets. This will give: \(-12x^{2} + 15x - 5x + 4x^{2}\)
02

Combining Like Terms

Next, combine the like terms (those that have the same exponent). So, \(-12x^{2} + 15x - 5x + 4x^{2}\) simplifies to: \(-8x^{2} +10x\)

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Most popular questions from this chapter

Factor the trinomials , or state that the trinomial is prime. Check your factorization using FOIL multiplication. \(8 x^{2}+33 x+4\)

When the sum of 6 and twice a positive number is subtracted from the square of the number, 0 results. Find the number.

Solve each equation using the zero-product principle. \((x+11)(x-5)=0\)

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

Solve the equations using the quadratic formula. \(4 x^{2}=12 x-9\)
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