Question

2) (3 - 2a) (3 + 2a) + 4a; 4) (27 - 7a) (27+ 7a).

Answer 1

2) 9-4а²+4а

4) 729-49а²

Answer 2

Let's simplify the given expressions:

1. $(3 - 2a)(3 + 2a) + 4a$

   Use the distributive property (FOIL) to expand the product of the binomials:

   $(3 - 2a)(3 + 2a) = 3 \cdot 3 + 3 \cdot 2a - 2a \cdot 3 - 2a \cdot 2a$

   Simplify:

   $9 + 6a - 6a - 4a^2 + 4a$

   Combine like terms:

   $9 - 4a^2 + 4a$

   Now, add $4a$:

   $9 + 4a - 4a^2$

2. $(27 - 7a)(27 + 7a)$

   Similarly, use the distributive property:

   $(27 - 7a)(27 + 7a) = 27 \cdot 27 + 27 \cdot 7a - 7a \cdot 27 - 7a \cdot 7a$

   Simplify:

   $729 + 189a - 189a - 49a^2$

   Combine like terms:

   $729 - 49a^2$

These are the simplified expressions for the given mathematical expressions.