Question

(6а-1)*(6а+1)-4а(9а+2)

Answer 1

(6а-1)(6а+1)-4а(9а+2)= $36a^2-1-36a^2-8a=-(8a+1)$

Answer 2

To simplify the expression (6a-1)(6a+1)-4a(9a+2), we can expand the terms and then combine like terms:

First, let's expand the terms within the parentheses:

(6a-1)(6a+1) = (6a)(6a) + (6a)(1) + (-1)(6a) + (-1)(1) = 36a^2 + 6a - 6a - 1 = 36a^2 - 1

Now let's expand the second term:

-4a(9a+2) = -4a(9a) - 4a(2) = -36a^2 - 8a

Finally, let's substitute these expansions back into the original expression and simplify:

(6a-1)(6a+1) - 4a(9a+2) = 36a^2 - 1 - 36a^2 - 8a = (36a^2 - 36a^2) + (-8a) - 1 = -8a - 1

Therefore, the simplified form of the expression (6a-1)(6a+1)-4a(9a+2) is -8a - 1.