Question

(2m-3)(2m+3)-(2m-1)^2 =

Answer 1

Ответ:

(2m-3)(2m+3)-(2m-1)^2 =

(4m^2+6m-6m-9)-(2m-1)(2m-1)=

(4m^2-9)-(4m^2m-2m+1)=

4m^2-9-4m^2+2m=2m-1=

4m^2-4m^2+2m+2m-9-1=

4m-8

Пошаговое объяснение:

Yare Yare Daze

Answer 2

Let's simplify the expression step by step:

(2m-3)(2m+3) - (2m-1)^2

Expanding the first term using the FOIL method (First, Outer, Inner, Last):

(2m * 2m) + (2m * 3) + (-3 * 2m) + (-3 * 3) - (2m - 1)(2m - 1)

Simplifying each term:

4m^2 + 6m - 6m - 9 - (4m^2 - 2m - 2m + 1)

Combining like terms:

4m^2 - 9 - 4m^2 + 4m + 4m - 1

The 4m^2 terms cancel out:

-9 + 8m - 1

Combining the constants:

-10 + 8m

Therefore, the simplified expression is -10 + 8m.