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Brainliest for the correct awnser!!!!! Which of the following is the product of the rational expressions shown below?

Brainliest for the correct awnser!!!!! Which of the following is the product of the rational expressions shown below? class=
Brainliest for the correct awnser!!!!! Which of the following is the product of the rational expressions shown below? class=

Answer :

xKelvin

Answer:

A.

Step-by-step explanation:

Multiply straight across:

[tex]\frac{2}{x+1}\cdot \frac{5}{3x}=\frac{10}{3x(x+1)}[/tex]

Simplify:

[tex]=\frac{10}{3x^2+3x}[/tex]

This cannot be simplified further.

Cathenna

Answer:

[tex] \boxed{\sf \frac{10}{3 {x}^{2} + 3x}} [/tex]

Step-by-step explanation:

[tex] \sf Expand \: the \: following: \\ \sf \implies \frac{2}{x + 1} \times \frac{5}{3x} \\ \\ \sf \implies \frac{2 \times 5}{3x(x + 1)} \\ \\ \sf 2 \times 5 = 10 : \\ \sf \implies \frac{ \boxed{ \sf 10}}{3x(x + 1)} \\ \\ \sf 3x(x + 1) = (3x)(x) + (3x)(1) : \\ \sf \implies \frac{10}{ \boxed{ \sf (3x)(x) + (3x)(1)}} \\ \\ \sf (3x)(x) = 3 {x}^{2} : \\ \sf \implies \frac{10}{ \boxed{ \sf 3 {x}^{2}} + (3x)(1) } \\ \\ \sf (3x)(1) = 3x : \\ \sf \implies \frac{10}{3 {x}^{2} + 3x} [/tex]

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