to simplify (2sqrt(b)-sqrt(3a))(2sqrt(b)+sqrt(3a))
answer is -3a+4b.
how would you get this?
recall that (u-v)(u+v) = u^2-v^2
Now let
u = 2√b
v = √(3a)
and it falls right out
To simplify the expression (2√b - √(3a))(2√b + √(3a)), we can use the difference of squares formula, which states that (a - b)(a + b) = a^2 - b^2.
Let's apply this formula to our expression:
(2√b - √(3a))(2√b + √(3a))
= (2√b)^2 - (√(3a))^2
= 4b - 3a.
Therefore, the simplified expression is -3a + 4b, not -3a + 4b as you mentioned.