Question

Simplify 6/10x^2 divided by 6/10x^3-60x^2

A. 4
B. x-6
C.x-4
D. x-1

Answer 1

`\bf \cfrac{\qquad (6)/(10x^2)\qquad }{(6)/(10x^3-60x^2)}\implies \cfrac{\underline{6}}{10x^2}\cdot \cfrac{10x^3-60x^2}{\underline{6}}\implies \cfrac{10x^3-60x^2}{10x^2} \\\\\\ \cfrac{\underline{10x^2}(x-6)}{\underline{10x^2}}\implies x-6`

Answer 2

Answer: The correct option is (B) x - 6.

Step-by-step explanation: We are given to simplify the following division :

`(6)/(10x^2)~~~\textup{by}~~~(6)/(10x^3-60x^2).`

The simplification of the above division is as follows :

`(6)/(10x^2)~~~\textup{by}~~~(6)/(10x^3-60x^2)\\\\\\=((6)/(10x^2))/((6)/(10x^3-60x^2))\\\\\\=(6)/(10x^2)*(10x^3-60x^2)/(6)\\\\\\=(10x^3-60x^2)/(10x^2)\\\\\\=(10x^2(x-6))/(10x^2)\\\\=x-6.`

Thus, the required simplified form is (x - 6).

Option (B) is CORRECT.