3 years ago

Please answer & number. Thank you! <33

Mathematics

1 answer:

mrs_skeptik [129]3 years ago

7 0

Answer:

2）=2

4）=3

5）=5

8）=-1

Step-by-step explanation:

just divide the number by the number with variable

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Trava [24]

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Estimate how many times larger 5 x 10^8 is than 24 x 10^6

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Split <img src="https://tex.z-dn.net/?f=%284ax-a%5E2%29%2F%28x%5E2%2Bax-2a%5E2%29" id="TexFormula1" title="(4ax-a^2)/(x^2+ax-2a^

IRISSAK [1]

The decomposition of the partial fraction is $\frac{4ax-a^2}{(x+ 2a)(x-a)} = \frac{A}{x + 2a} + \frac{B}{x - a}$

<h3>How to split the fraction?</h3>

The expression is given as:

$\frac{4ax-a^2}{x^2+ax-2a^2}$

Expand the denominator

$\frac{4ax-a^2}{x^2- ax+2ax-2a^2}$

Factorize

$\frac{4ax-a^2}{x(x- a)+2a(x-a)}$

Factor out x - a

$\frac{4ax-a^2}{(x+ 2a)(x-a)}$

The denominator of the partial fraction is a product of two linear factors.

So, the decomposition can be represented as:

$\frac{4ax-a^2}{(x+ 2a)(x-a)} = \frac{A}{x + 2a} + \frac{B}{x - a}$

Read more about partial fractions at:

brainly.com/question/18958301

#SPJ1

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2 years ago