Mathematics: 13/7x^2+11x/8(x+3). the question asks to “rewrite with a common denominator and i’m not sure how

l.m.a.Step-by-step explanation:...

13/7x^2+11x/8(x+3). the question asks to “rewrite

maria4040

10.03.2022

$\frac{77x^{3}+104x+312}{56x^{2}(x+3)}$

Step-by-step explanation:

The original expression:

$\frac{13}{7x^{2}} + \frac{11x}{ 8(x + 3)}$

Multiply each term by the product of the denominators:

$= \frac{13\times8(x+3)}{7x^{2}\times 8(x+3)} + \frac{7x^{2}\times11x}{7x^{2}\times8(x+3)}$

Add the two fractions:

$= \frac{13\times8(x+3)+7x^{2}\times11x}{7x^{2}\times 8(x+3)}$

Combine like terms:

$= \frac{104(x+3)+77x^{3}}{56x^{2}(x+3)}$

Simplify the numerator:

$= \frac{77x^{3}+104x+312}{56x^{2}(x+3)}$

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