How to expand a using the distributive law

2x(3x+5)+1(3x+5)

Step-by-step explanation:

The distributive law is the law that states that multiplying a number by a group of numbers is the same as doing each multiplication separately. Eg. A(B+C) =AB+AC

In the case of two sets of parenthesis it would look like:

2x(3x+5)+1(3x+5)

Which would give us:

6x^2 +10x +3x+5

6x^2+13x+5

The general format for 2 bracket ones would be:

(A+B) (C+D) =A(C+D) +B(C+D)

where the two terms in the first bracket go outside the second bracket twice individually because each term must be multiplied by all terms in the other bracket.

Hope this helped!

a negative exponent is translated as follows:

so, we have