Respuesta :

sofiaSMEB22

[tex]\frac{12x^7-6x^5}{2x^3}[/tex]

Answer:

Factor:

[tex]12x^7-6x^5\quad 6x^5\left(2x^2-1\right)[/tex]

Cancel:

[tex]}\frac{6x^5\left(2x^2-1\right)}{2x^3}:\quad 3x^2\left(2x^2-1\right)[/tex]

Distribute: [tex]3x^2\left(2x^2-1\right):\quad 6x^4-3x^2[/tex] =

[tex]6x^4-3x^2[/tex]

Hope this helps!!

kudzordzifrancis

ANSWER

[tex] \frac{12 {x}^{7} - 6 {x}^{5} }{2 {x}^{3} } = 6 {x}^{4} - 3 {x}^{2} [/tex]

EXPLANATION

The given expression is :

[tex] \frac{12 {x}^{7} - 6 {x}^{5} }{2 {x}^{3} } [/tex]

We split the numerator to obtain;

[tex] \frac{12 {x}^{7} }{2 {x}^{3} } - \frac{ 6 {x}^{5} }{2 {x}^{3} } [/tex]

Recall that:

[tex] \frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n} [/tex]

We apply this law to obtain:

[tex]6 {x}^{7 - 3} - 3 {x}^{5 - 3} [/tex]

Simplify the exponents to get;

[tex]6 {x}^{4} - 3 {x}^{2} [/tex]

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