admin

03.07.2022 - 07:19

Simplify the expression. \frac{8x^{2} + 10x – 3}{2x^{2} – 7x – 15}

Question:

Simplify the expression.

{eq}frac{8x^{2} + 10x – 3}{2x^{2} – 7x – 15} {/eq}

Answers (1)

Elva April 4, 2023 в 20:38

The expression can be simplified through factoring. First, we can factor the numerator by looking for two numbers that multiply to -24 and add up to 10. These numbers are 12 and -2. So, we can rewrite the numerator as 8x^2 + 12x - 2x - 3. We can then factor the first two terms and the last two terms separately, giving us (4x + 3)(2x + 1) - (2x + 3)(x - 1). Combining these terms, we get {(4x + 3)(2x + 1) - (2x + 3)(x - 1)} / {(2x + 3)(x - 5)}. The expression is now simplified as much as possible.

Do you know the answer?

Leave a comment Cancel Response

Not sure about the answer?

Find the right answer to the question Simplify the expression. \frac{8x^{2} + 10x – 3}{2x^{2} – 7x – 15} by subject Algebra, and if there is no answer or no one has given the right answer, then use the search and try to find the answer among similar questions.

Search for other answers

New questions in the category: Algebra

An airplane has a speed 590 km/h . If a wind begins blowing from the southwest at a speed of 94.9 km/h (average). In what direction should the pilot aim the plane so that it will fly due south?

What is a mathematical phrase?

A banana peel weighs 1/8 the total weight of a banana. If an unpeeled banana balances a peeled banana of the same weight plus 7/8 of an ounce, how much does the banana weight with the peel?

Solve 2x – 7 = 6x – 15

How do you write the algebraic expression for “six times the sum of a number and 15 is -42”?

Solve a \quadratic expression by factoring: x^3+18x^2+45x=0

A 64-kg hiker climbs to the top of a 3700 m-high mountain. The climb is made in 5.5 hr starting at an elevation of 2900 m. Calculate the average power output in watts. a. Calculate the average power o

Find the indicated difference quotient and simplify your answer f ( x ) = x 3 + 3 x , f ( x + h ) f ( x h , h 0 f ( x ) = 1 / x 2 , g ( x ) g ( 3 ) / ( x 3 ) , x 3 f ( t ) = 1 / ( t 2 ) , f ( t ) f ( 1 ) / ( t 1 ) , t 1

Solve for x: 8x – 2 = -9 + 7x.

Explain how to determine if a \quadratic equation has no real solution.

Find y if 6y – 8 – 6 – 8y = 4.

Given y = 2x^2 – 4x-1 , find the vertex, focus and the equation of the directrix line.

(a) Write the expression in terms of natural logarithms. (Express all logarithmic functions in terms of ln(x) in your answer.) log_{8.9} 135 = (b) Give a calculator \approx imation. log_{8.9} 135 \approx

The best definition of statistics is: a.The practice or science of studying the data distribution and determinants of health-related states and events in specified populations b. The practice or science of collecting and analyzing numerical data for the p

What are the steps to solve the equation 5x – 2 = 3x^4?

Solve the following \quadratic equation by factoring. First, write the expression in completely factored form. Then write the real number solutions. -4x^{2} = 12x

At a Hitchcock film festival, Lela watched ”Topaz” and ”Frenzy,” once each, and ”Family Plot” twice, for a total of 501 minutes. Family Plot is five minutes longer than Frenzy. What is the sum

From a box of 10 light bulbs, you are to remove 4. How many different sets of 4 light bulbs could you remove?

How many numbers from 1 to 10,000 contains number 7?

A person needed a new rain spout, but instead of buying one, she decided to make her own by bending up an equal amount on both sides of a piece of sheet metal. If the sheet metal was 29 inches long, how much would she have to bend up on both sides so that

Authorization

Password generation