Respuesta :
Answer:
[tex]10x^4+65x^3-25x^2[/tex]
Step-by-step explanation:
We are asked to multiply the following:
[tex]5x^2(2x^2+13x-5)[/tex]
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.
[tex]5x^2(2x^2+13x-5)\\=5x^2(2x^2)+5x^2(13x)-(5x^2)5)\\
=10x^4+65x^3-25x^2[/tex]
Since there are no like terms, we cannot simplify this any further
Answer:
[tex]5x^2(2x^2+13x-5)=10x^4+65x^3-25x^2[/tex]
Step-by-step explanation:
[tex]5x^2(2x^2+13x-5)[/tex]
[tex]x^2(5\times 2x^2+5\times 13x-5\times 5)[/tex]
[tex]x^2(10x^2+65x-25)[/tex]
[tex]x^2\times 10x^2+x^2\times 65x-x^2\times 25[/tex]
[tex]10x^4+65x^3-25x^2[/tex]
[tex]5x^2(2x^2+13x-5)=10x^4+65x^3-25x^2[/tex]
