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3 years ago

15) PLEASE HELP!!!! 10 POINTS + BRAINLIEST!!!

Mathematics

1 answer:

o-na [289]3 years ago

6 0

Multiply, and Divide

2/ 2 - 15i

2(2 + 15i)/ (2 - 15i) * 2 + 15i

= ( 4 + 30i)/ (4 + 225)

= (4 + 30i )/ 229

Hence; 2/ 2 - 15i
= 4/ 229 + 30i/ 229

Therefore, Letter Choice (D); is your answer 4/229 + 30i/229

Hope that helps!!!!

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Please solve and explain. Photo attached

ss7ja [257]

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

Solution:

Given expression:

$$\frac{\frac{36}{x^{2}}+\frac{36}{x}}{\frac{36}{x-3}}$

To solve this expression:

$$\frac{\frac{36}{x^{2}}+\frac{36}{x}}{\frac{36}{x-3}}$

Apply the fraction rule: $$\frac{a}{\frac{b}{c}}=\frac{a \cdot c}{b}$

$$=\frac{\left(\frac{36}{x^{2}}+\frac{36}{x}\right)(x-3)}{36}$

Let us solve $\frac{36}{x^{2}}+\frac{36}{x}$ .

Least common multiple of $x^{2}, x$ is $x^{2}$ .

Make the denominator same based on the LCM.

So that multiply and divide the 2nd term by x, we get

$$\frac{36}{x^{2}}+\frac{36}{x}=\frac{36}{x^{2}}+\frac{36 x}{x^{2}}$

$$=\frac{36+36 x}{x^{2}}$

Now, multiply by (x - 3).

$$\frac{36+36 x}{x^{2}}(x-3)= \frac{(36 x+36)(x-3)}{x^{2}}$

$$\frac{\left(\frac{36}{x^{2}}+\frac{36}{x}\right)(x-3)}{36}=\frac{\frac{(36 x+36)(x-3)}{x^{2}}}{36}$

Apply the fraction rule: $\frac{\frac{b}{c}}{a}=\frac{b}{c \cdot a}$

$$=\frac{(36x+36)(x-3)}{x^{2} \cdot 36}$

$$=\frac{36(x+1)(x-3)}{x^{2} \cdot 36}$

Cancel the common factor 36.

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

Hence the solution is $\frac{(x+1)(x-3)}{x^{2}}$ .

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olga_2 [115]

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Step-by-step explanation:

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