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Mathematics, 12.04.2021 08:10 glogang6670

Trigonometry question


Trigonometry question

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Answers: 3
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Answer from: Quest

the simplified form is

\frac{x^2(2x+3)}{2(4x-3)}

step-by-step explanation:

we want to simplify the expression,

\frac{\frac{6x+9}{15x^2} }{\frac{16x-12}{10x^4} }

let us change the middle bar to a normal division sign to obtain,

\frac{6x+9}{15x^2}\div\frac{16x-12}{10x^4}

we multiply the first fraction by the reciprocal of the second fraction to obtain,

\frac{6x+9}{15x^2}\times \frac{10x^4}{16x-12}

we factor to obtain,

\frac{3(2x+3)}{3\times5\times x^2}\times \frac{2\times5\times x^2\times x^2}{4(4x-3)}

we cancel the common factors to get,

\frac{(2x+3)}{1}\times \frac{ x^2}{2(4x-3)}

we simplify to get,

\frac{x^2(2x+3)}{2(4x-3)}

the correct answer is b

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