Question

3. Simplify the following algebraic expressions.
(i) x(x + y + z) - y(x - y + z)
(ii) 5bc + b(c-6) - c(b +2)​

Answer 1

5 b c + b ( c - 6 ) - c ( b + 2 )

Use the distributive property to multiply b by c-6.

5bc+bc-6b-c(b+2)

Combine 5bc and bc to get 6bc.

6bc-6b-c\left(b+2\right)

Use the distributive property to multiply c by b+2.

6bc-6b-\left(cb+2c\right)

To find the opposite of cb+2c, find the opposite of each term.

6bc-6b-cb-2c

Combine 6bc and -cb to get 5bc.

5bc-6b-2c