Question

simplify (3√2+2√3)^2-(3√2-2√3)^2​

Answer 1

Step-by-step explanation:

(3√2+2√3)²-(3√2-2√3)²

In (3√2+2√3)²,3√2 and 2√3 are two numbers.

As we know that (a+b)²= a²+b²+2ab

So,(3√2+2√3)²= (3√2)²+(2√3)²+2(3√2)(2√3)

= 18+12+12√6=30+12√6

Again in (3√2-2√3)² we can use the identity (a-b)²

So, (3√2-2√3)²=18+12-12√6=30-12√6

At last 30+12√6-(30-12√6)

=30+12√6-30+12√6

=24√6