How do you multiply (3x^2 + 2y)(7x^2 + 3y)?

1 Answer
Jul 26, 2016

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

21x^4 + 9x^2 y+ 14x^2y +6y^2

21x^4 + 23x^2y+6y

Explanation:

Step 1
I multiplied
3x^2 with 7x^2
Step 2
I multiplied 3x^2 with 3y.
So far we have 21x^4 + 9x^2y
Step 3
I multiplied 2y with 7x^2
Step 4
I multiplied 2y with 3y.
We have 14x^2y + 6y^2
Step 5
In total, we have 21x^4+9x^2y+14x^2y+6y^2
Step 6
We combine like terms. You will see the only like terms are 9x^2y+14x^2y Those are the only terms we combine.
Final Step
We combine everything
SO our answer is 21x^4+23x^2y+6y^2