i want to know if this is correct
expand the following without using FOIL
(4m^2-3)^2
(4m^2)^2-2(4m^2)(3)+3^2
16m^4-8m^2(3)+9
16m^4-24m^2+9
To expand the expression (4m^2-3)^2 without using FOIL, you can follow these steps:
Step 1: Start by squaring the first term, (4m^2)^2. This can be done by multiplying 4m^2 by itself:
(4m^2)^2 = 16m^4
Step 2: Multiply the first term, 4m^2, by the second term, -3:
-2(4m^2)(3) = -24m^2
Step 3: Finally, square the second term, -3:
3^2 = 9
Putting it all together, we have:
(4m^2-3)^2 = 16m^4 - 24m^2 + 9
Therefore, your expansion is correct:
(4m^2-3)^2 = 16m^4 - 24m^2 + 9.