Question

Use the box method to distribute and simplify (5x+2)(3x+3)

Answer 1

Answer:

3(5x^2+7x+2)

Step-by-step explanation:

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

I use the foil method, but if you need to use a different method you can look online at how it is done, but this should give you the correct answer.

First

Outside

Inside

Last

First you multiply 5x and 3x together (the first values in each bracket), which gives you 15x squared (15x^2)

Then you multiply the 5x and 3 (the values on the "outside" of the equation --> first and last) which gives you 15x

Then you multiply the "inside" values (the ones in the middle of all the terms), which is 2 and 3x, and gives you 6x

Last you multiply the 2 values that are last in each bracket, 2 and 3, which gives you 6

So then you put then in order of the exponent

15x^2+15x+6x+6

Then you collect like terms (which means terms that have the same number of the variable) and you're left with the answer

15x^2+21x+6

Then most likely you need to further simplify and you can common factor a number out (take the highest number that evenly mutiplies into each term and divide it out of each), so that you have,

3(5x^2+7x+2)

Answer 2

15x^2+21x+6 that’s the answer