Question

7x^2/2x+6 divided by 3x-5/x+3

Answer 1

`\large\boxed{(7x^2)/(6x-10)}`

Explanation:

`(7x^2)/(2x+6)/(3x-5)/(x+3)=(7x^2)/(2(x+3))\cdot(x+3)/(3x-5)\\\\\text{cancel}\ (x+3)\\\\=(7x^2)/(2)\cdot(1)/(3x-5)=((7x^2)(1))/((2)(3x-5))\\\\\text{use the distributive property}\ a(b-c)=ab-ac\\\\=(7x^2)/(6x-10)`