Question

Multiply 5x^2(2x^2+13x-5)

Answer 1

`5x^2(2x^2+13x-5)=10x^4+65x^3-25x^2`

Explanation:

`5x^2(2x^2+13x-5)`

`x^2(5* 2x^2+5* 13x-5* 5)`

`x^2(10x^2+65x-25)`

`x^2* 10x^2+x^2* 65x-x^2* 25`

`10x^4+65x^3-25x^2`

`5x^2(2x^2+13x-5)=10x^4+65x^3-25x^2`

Answer 2

`10x^4+65x^3-25x^2`

Explanation:

We are asked to multiply the following:

`5x^2(2x^2+13x-5)`

WE find that a single term is to be multiplied for a trinomial with 3 terms

Hence let us use distributive property for multiplication

So multiply the single term with each of the term inside the second term within bracket to get as following.

`5x^2(2x^2+13x-5)\\=5x^2(2x^2)+5x^2(13x)-(5x^2)5)\\</p><p>=10x^4+65x^3-25x^2`

Since there are no like terms, we cannot simplify this any further