Algebra-1

To simplify (4a²b³c + 6ab²c³)², we can use the formula for the square of a binomial:

(a + b)² = a² + 2ab + b²

In this case, a is 4a²b³c and b is 6ab²c³. Substituting these values into the formula, we get:

(4a²b³c + 6ab²c³)² = (4a²b³c)² + 2(4a²b³c)(6ab²c³) + (6ab²c³)²
                   = 16a⁴b⁶c² + 48a³b⁵c⁴ + 36a²b⁴c⁶

Therefore...