HELP! Algebra. DONT UNDERSTAND
posted by KG
Factor each of the following expressions completely and then simplify, if possible:
a: ax + 2x
b: ax  2x
c: 3x  4x + 7x
d: 3x^2 + xy  x
e: (a + b)(c + 1)  (a + b)
f: x^2  9y^2
g: (x^2  y^2) + x + y

Kim
A: x(a+2)

niezel
a: ax+2x = x(a+2)
b: ax2x = x(a2)
c: 3x4x+7x = x(34+7) = 6x
d: 3x^2+xyx = x(3x+y1)
e: (a+b)(c+1)(a+b) = ac+bc = c(a+b)
f: x^29y^2 = x=3y
g:(x^2  y^2) + x + y = yx 
KG
How did you do this??

Reiny
Niezel is correct from a  e
explanation of e)
(a+b)(c+1)(a+b) = ac+bc = c(a+b)
by common factor of (a_+b)
= (a+b)(c+1  1)
= c(a+b)
f)
x^2  9y^2  standard difference of squares
= (x+3y)(x3y)
g)
(x^2  y^2) + x + y
= (xy)(x+y) + (x+y) , difference of squares at the front, no damage done by putting in brackets at the end
= (x+y)(xy + 1)  just used a common factor of (x+y)
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