Question

Perform the operation
(3x^2-10x+4)+(10x^2-5x+8)

Answer 1

Answer: 13x^2 - 15x + 12

Explanation:

`\left(3x^2-10x+4\right)+\left(10x^2-5x+8\right)`

`=3x^2-10x+4+10x^2-5x+8`

`\mathrm{Group\:like\:terms}`

`=3x^2+10x^2-10x-5x+4+8`

`\mathrm{Add\:the\:numbers:}\:4+8=12`

`=3x^2+10x^2-10x-5x+12`

`\mathrm{Add\:similar\:terms:}\:3x^2+10x^2=13x^2`

`=13x^2-10x-5x+12`

`\mathrm{Add\:similar\:terms:}\:-10x-5x=-15x`

`=13x^2-15x+12`