Question

1. What Is The Simplified Form Of 4X Plus 2 Over X Plus 5 Minus The Fraction 3X Minus 1 Over X Plus 5?

Math equations can often be intimidating. But with the right techniques, you can simplify even complicated math problems. The fraction 4x+2 over x+5 minus 3x-1 over x+5 is a perfect example of this. In this blog post, we’ll explore how to simplify this equation and break it down into its component parts. We’ll also look at how to use basic math operations to simplify the equation in order to make it easier to solve. So if you want to learn more about simplifying complex equations, read on for all the details!

What is the Simplified Form Of 4X Plus 2 Over X Plus 5 Minus The Fraction 3X Minus 1 Over X Plus 5?

The simplified form of the equation is 4x+2/(x+5) – (3x-1)/(x+5). To simplify this equation, we need to combine the fractions. We can do this by finding a common denominator. In this case, the common denominator is x+5. We need to multiply both the numerator and denominator of the first fraction by 3x-1 and both the numerator and denominator of the second fraction by 4x+2. This gives us the equation:

(12x^2 +17x +10)/(3x^2 +25x +25) – (9x^2 -13x + 5)/(3x^2 +25x +25)

We can now cancel out the common factors in the numerators and denominators, which leaves us with:

(12x^2 +17x +10 – 9x^2 +13x – 5)/(3x^2 +25x +25)

This can be further simplified to:

(3x^2 +4y+5)/(3z^2+ 25z+ 25)

How to Simplify 4X Plus 2 Over X Plus 5 Minus The Fraction 3X Minus 1 Over X Plus 5

To simplify 4x+2 over x+5-(3x-1)/(x+5), first combine the terms in the numerator and denominator that have the same variable. In the numerator, this means adding 4x and 2 together to get 6x. In the denominator, this means adding x and 5 together to get 6x. The simplified form of the expression is then 6x/(6x)-(3x-1)/(6x).

Next, use the distributive property to simplify the expression further. In the numerator, this means multiplying 6x by each term in the denominator. This gives us 6x*[-(3x-1)/(6x)] = -18x^2+6x/-18x^2+30x. In the denominator, we can multiply (6x)^2 to get 36x^2.

The final step is to combine like terms in both the numerator and denominator. In the numerator, this gives us -18x^2+6/-18= 18/-36=-1/2 . And in the denominator we have 36/36=1 . Therefore, our final answer is -1/2 .

What is the Difference Between the Simplified and Unsimplified Forms of 4X Plus 2 Over X Plus 5 Minus The Fraction 3X Minus 1 Over X Plus 5?

Simplifying fractions is a process of finding an equivalent fraction that is easier to work with. In this case, the simplified form of the fraction 4x+2 over x+5 minus the fraction 3x-1 over x+5 is 2x over x+5. This is because both the numerator and denominator can be divided by 2 without changing the value of the fraction.

2. Trying to wrap your head around complex math equations can be challenging, especially when there are multiple fractions involved! If you’ve been scratching your head trying to figure out the simplified form of 4X plus 2 over X plus 5 minus the fraction 3X minus 1 over X plus 5, we’ve got you covered.

Let’s break down this equation:

4X plus 2 over X plus 5 minus the fraction 3X minus 1 over X plus 5

The first step is to factor out the common denominator – in this case, it’s X plus 5. Once you do that, you’re left with the following equation:

(4X + 2)(X + 5) – (3X – 1)(X + 5)

Now, let’s simplify the equation by multiplying the two terms together:

(4X + 2)(X + 5) – (3X – 1)(X + 5) = 4X^2 + 10X + 10X – 3X^2 – 5X – 5 = X^2 + 15X – 5

We can now reduce the equation by subtracting 5 from both sides of the equation, leaving us with:

X^2 + 15X – 5 = X^2 + 15X – 5

And voila! We’ve solved the equation! The simplified form of 4X plus 2 over X plus 5 minus the fraction 3X minus 1 over X plus 5 is X^2 + 15X – 5.