150k views
2 votes
Find the product: (3d + 7) (3d - 7)

User Matt Brock
by
7.0k points

1 Answer

4 votes

Answer:

9d² - 49

Explanation:

(3d + 7)(3d - 7) =

= 3d × 3d + 3d × (-7) + 7 × 3d + 7 × (-7)

= 9d² - 21d + 21d - 49

= 9d² - 49

That is the solution obtained by multiplying the first binomial by the second binomial term by term.

If you are familiar with the product of a sum and a difference which equals a difference of squares, whose pattern is: (a + b)(a - b) = a² - b², then you can immediately get the answer in one step.

(3d + 7)(3d - 7) =

= 9d² - 49

User Arootin Aghazaryan
by
8.0k points