. Are the following steps to simplify the product of 2x + 1and 5x + 3 correct? If so, explain each step. If not, explain the errors made.

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

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

10x2 + 6x + 5x + 3

10x2 + 11x + 3

Question

.	Are the following steps to simplify the product of 2x + 1and 5x + 3 correct? If so, explain each step. If not, explain the errors made. 

(2x + 1)(5x + 3) 

2x(5x) + 2x(3) + 1(5x) + 1(3) 

10x2 + 6x + 5x + 3 

10x2 + 11x + 3

cwrw238 · Answer

they are correct
the first step is the application of the distributive law
2x is distributed over the second bracket then +1 , in a similar way

the last 2 steps are simplifications

skullpatrol · Answer

This is called the FOIL method of multiplying binomials.