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3 years ago

Can I please get some help?

Mathematics

1 answer:

Lapatulllka [165]3 years ago

5 0

I wish I could explain how to do these, but I can recommend Math-way. You can type the equations in and it with simplify it for you. It will even show you the steps, but you have to pay fro that part, but at least it will give you the answer.

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The product of a rational number

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3 years ago

Simplify the expression 4p-5(p-6)

STatiana [176]

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3 years ago

What is the only prime number HURRY

Mrrafil [7]

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3 years ago

X^2 - 2x + 1<br> x^2 - 2x - 1<br> x^2 + 2x + 1<br> In the denominator

mylen [45]

Answer:

$x^{2} -4x+4$ in the numerator

$x^{2} -2x+1$ in the denominator

Step-by-step explanation:

First fraction simplifies to:

$\frac{x^{2}+x-6}{x^{2}-6x+5}\\\frac{x^{2}-2x+3x-6}{x^{2}-x-5x+5}\\\frac{x(x-2)+3(x-2)}{x(x-1)+5(x-1)}\\\frac{(x+3)(x-2)}{(x-1)(x+5)}\\$

Dividing my a fraction is the same as multiplying by the reciprocal, so the second fraction simplifies to:

$\frac{x^{2}-7x+10}{x^{2}+2x-3}\\\frac{x^{2}-2x+5x-10}{x^{2}-x+3x-3}\\\frac{x(x-2)+5(x-2)}{x(x-1)+3(x-1)}\\\frac{(x+5)(x-2)}{(x-1)(x+3)}\\$

So the equation becomes:

$\frac{(x+3)(x-2)}{(x+5)(x-1)} * \frac{(x+5)(x-2)}{(x-1)(x+3)}\\$

The (x+3) and (x+5) terms cancel out, so what your left with is

$\frac{(x-2)^{2}}{(x-1)^{2}}$

Expanding this term you get the answer:

$x^{2} -4x+4$ in the numerator

$x^{2} -2x+1$ in the denominator

6 0

3 years ago

Review the equation used in writing a partial fraction decomposition.

Aleksandr [31]

Applying partial fractions, the system of equations that can be used to find the values of A and B is given as follows:

5A = -15.

-2A + B = 10.

<h3>What is the partial fraction?</h3>

The partial fraction is given as follows:

$\frac{-15x + 10}{(5x - 2)^2} = \frac{A}{5x - 2} + \frac{B}{(5x - 2)^2}$

Applying the least common multiple at the right side, we have that:

$\frac{-15x + 10}{(5x - 2)^2} = \frac{A(5x - 2) + B}{(5x - 2)^2}$

$\frac{-15x + 10}{(5x - 2)^2} = \frac{5Ax - 2A + B}{(5x - 2)^2}$

Hence, comparing both sides of the equality:

5A = -15.

-2A + B = 10.

More can be learned about partial fractions at brainly.com/question/24594390

#SPJ1

5 0

1 year ago