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1 vote
Divide.
(12x^7-6x^5)/(2x^3)

User Ireland
by
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2 Answers

3 votes


(12x^7-6x^5)/(2x^3)

Answer:

Factor:


12x^7-6x^5\quad 6x^5\left(2x^2-1\right)

Cancel:


}(6x^5\left(2x^2-1\right))/(2x^3):\quad 3x^2\left(2x^2-1\right)

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


6x^4-3x^2

Hope this helps!!

User Aspirinemaga
by
8.5k points
2 votes

ANSWER


\frac{12 {x}^(7) - 6 {x}^(5) }{2 {x}^(3) } = 6 {x}^(4) - 3 {x}^(2)

Step-by-step explanation

The given expression is :


\frac{12 {x}^(7) - 6 {x}^(5) }{2 {x}^(3) }

We split the numerator to obtain;


\frac{12 {x}^(7) }{2 {x}^(3) } - \frac{ 6 {x}^(5) }{2 {x}^(3) }

Recall that:


\frac{ {a}^(m) }{ {a}^(n) } = {a}^(m - n)

We apply this law to obtain:


6 {x}^(7 - 3) - 3 {x}^(5 - 3)

Simplify the exponents to get;


6 {x}^(4) - 3 {x}^(2)

User Prokash Sarkar
by
8.3k points

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