Question

simplify these algebraic expressions:

Answer 1

\[\frac{ 7 }{ x+3 }- \frac{2}{x+5}\]

Answer 2

5x+8 is simplest form

Answer 3

um the answer needs to be a fraction i think :S

Answer 4

yeah sorry hold up

Answer 5

5x+29/(x+3)(x+5)

Answer 6

okayy umm how dya work that one out?

Answer 7

let me draw it out

Answer 8

Start by getting a common denominator.

Answer 9

1. 4(3+7y)+6(2-y)

(12+28y)+(12-6y) distributive property
24+22y addition property
12+11y lowest terms (divide by 2)

2. 9(2y-4)-2(7y-12)
(18y-36)-(14y-24) distributive
18y-36-14y+24 subtraction. change the signs
4y-12 combine
y-3 lowest terms, divide by 4

3. 5(-3y-1)-(6-5y)
(-15y-5)-(6-5y) distribute
-15y-5-6+5y subtraction, be careful with the signs -(6-5y) is = to -6+5y
-10y-11
10y+11 eliminate the negative

4. 2(7+6y)+15(-1+y)
14+12y-15+15y distribute, signs included
-1+27y combine
27y-1

5. (-9y+5)-8(-y-2)
-9y+5+8y+16 distribute, signs included
-y+21
y-21 eliminate negative coefficient

6. -(5y-6)+4(3+5y)
-5y+6+12+20y distribute, signs included while multiplying
15y+18 combine
5y+6 lowest terms, divide by 3

:P