Question

What is the product of 3a + 5 and 2a +4a - 2

Answer 1

Answer: The product is $18a^2+24a-10$

Step-by-step explanation:

Since we have given that

$(3a+5)\times (2a+4a-2)$

We first simplify the next term i.e.

$2a+4a-2=6a-2$

Now, we will multiply both the terms:

$(3a+5)(6a-2)\\\\=3a(6a-2)+5(6a-2)\\\\=18a^2-6a+30a-10\\\\=18a^2+24a-10$

Hence, the product is $18a^2+24a-10$

Answer 2

( 3a + 5 ) ( 2a + 4a - 2 )

foil it out/ distribute each term

6a^2 + 12a^2 - 6a + 10a + 20a -10

combine like terms

18a^2 + 24a - 10

that is its simplest form