(7a+2y)(7a-2y)
Using the FOIL method:
(7a+2y)(7a-2y)
= 7a * 7a + 7a * (-2y) + 2y * 7a + 2y * (-2y)
= 49a^2 - 4y^2
3×-⅓×(6×-18)
First, let's simplify the multiplication within the parentheses:
6 × (-18) = -108
Now, we have:
3 × (-⅓) × (-108)
Multiplying the 3 and -⅓ first:
3 × (-⅓) = -1
Now we have:
-1 × (-108)
Finally, multiplying -1 and -108:
-1 × (-108) = 108
Therefore, the final answer is 108.
To multiply the expression (7a+2y)(7a-2y), we can use the distributive property.
First, multiply the terms in the first parentheses with each term in the second parentheses:
(7a)*(7a) = 49a^2
(7a)*(-2y) = -14ay
(2y)*(7a) = 14ay
(2y)*(-2y) = -4y^2
Next, combine the products:
(7a+2y)(7a-2y) = 49a^2 - 14ay + 14ay - 4y^2
The middle terms (14ay and -14ay) cancel each other out, resulting in:
(7a+2y)(7a-2y) = 49a^2 - 4y^2
Therefore, the expression (7a+2y)(7a-2y) simplifies to 49a^2 - 4y^2.