Question

(ab - 14bc +2) - (8ab+3bc -5)

Answer 1

Hi! :)

THEME: COMBINED EXERCISES

The negative sign in front of a parenthesis, in front of a bracket, or in front of a brace, CHANGES all the following signs:

(ab - 14bc +2) - (8ab+3bc -5) =

ab - 14bc +2 - 8ab- 3bc + 5 = change the signs

ab - 8ab - 14bc - 3bc + 2 + 5 = join like terms

- 7ab - 17bc + 7 = sort out

Final result is:

`\boxed{ -7ab-17bc+7}`

꒰Piscis04꒱

Answer 2

-7ab - 17bc + 7

Explanation:

Subtract like terms. I've arranged the given terms as follows to make it easier to subtract:

(1)ab - 14bc + 2

- 8ab + 3bc - 5

-7ab -17bc + 7

The last term (7) is positive because its sign is negative. Since you're subtracting, you could apply the distributive law (which applies to its sign):

-(a + b) = -a - b.

Another way of solving this is:

(ab - 14bc +2) - (8ab+3bc -5)

= ab - 14bc +2 - 8ab - 3bc + 5

Rearrange the terms:

= ab - 8ab - 14bc - 3bc +2 + 5

Combine like terms:

= -7ab -17bc + 7