Question

√9b-3√b √c+10√c-14√c

Answer 1

Ответ:

3√b-3√b=0

√c+10√c-14√c=-3√c

Answer 2

To simplify the expression √9b - 3√b√c + 10√c - 14√c, you can combine like terms:

√9b - 3√b√c + 10√c - 14√c

First, simplify the square root of 9b:

√9b = √(3 * 3 * b) = 3√b

Now, rewrite the expression with the simplified terms:

3√b - 3√b√c + 10√c - 14√c

Next, combine like terms by grouping the terms with √b and √c:

(3√b - 3√b√c) + (10√c - 14√c)

Now, factor out the common terms from each group:

3√b(1 - √c) + 2√c(5 - 7)

Now, simplify further:

3√b(1 - √c) + 2√c(-2)

Finally, distribute the constants and simplify:

3√b - 3√b√c - 4√c

So, the simplified expression is 3√b - 3√b√c - 4√c.