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Vera_Pavlovna [14]
2 years ago
14

I NEED HELP ME PLEASE!!

Mathematics
1 answer:
Whitepunk [10]2 years ago
3 0

<u>Answer:</u>

1. The correct answer option is B.

2. The correct answer option is C.

4. The correct answer option is D.

<u>Step-by-step explanation:</u>

1. \frac{3}{x^2+14x+48} ÷ \frac{3}{10x+60}

Changing division to multiplication by taking the reciprocal of the latter fraction:

\frac{3}{x^2+14x+48} \times \frac{10x+60}{3}

\frac{3}{(x+6)(x+8)} \times \frac{10(x+6)}{3}

Cancelling the like terms to get:

\frac{10}{(x+8)}

The correct answer option is B. \frac{10}{(x+8)}

2. \frac{4x^2+36}{4x} \times \frac{1}{5x}

Factorizing the terms and then cancelling the like terms to get:

\frac{4(x^2+9)}{4x} \times \frac{1}{5x}

\frac{x^2+9}{5x^2}

The correct answer option is C. \frac{x^2+9}{5x^2}.

4. \frac{\frac{4t^2-16}{8} }{\frac{t-2}{6} }

Changing division to multiplication by taking the reciprocal of the latter fraction:

\frac{4t^2-16}{8} \times \frac{6}{t-2}

\frac{4(t-2)(t+2)}{8} \times \frac{6}{t-2}

Cancelling the like terms to get:

3(t+2)

The correct answer option is D. 3(t+2).

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We know that:

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