A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.

To subtract these radicals together their radicands must be the same:

8\( \sqrt{12} \) - 5\( \sqrt{3} \)
8\( \sqrt{4 \times 3} \) - 5\( \sqrt{3} \)
8\( \sqrt{2^2 \times 3} \) - 5\( \sqrt{3} \)
(8)(2)\( \sqrt{3} \) - 5\( \sqrt{3} \)
16\( \sqrt{3} \) - 5\( \sqrt{3} \)

Now that the radicands are identical, you can subtract them:

The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.

The factors of 64 are [1, 2, 4, 8, 16, 32, 64] and the factors of 56 are [1, 2, 4, 7, 8, 14, 28, 56]. They share 4 factors [1, 2, 4, 8] making 8 the greatest factor 64 and 56 have in common.

To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:

4a⁶ - 2a⁶
(4 - 2)a⁶
2a⁶