Posted by Hannah on Thursday, September 9, 2010 at 5:37pm.
Perform the indicated operations and simplify the result. Leave your answer in factored form.
1) x/16 - 1/x all over 1 + 4/x
I chose answer C. I saw this as x^2-16/ x+4.
Multiply the following using the FOIL method. Express your answer as a single polynomial in standard form.
2) (sqrt a + a)(sqrt a - a)
A) a - a^2
B) a + a^2
C) sqrt a - a^2
D) 2 sqrt a
I chose answer C.
Simplify the expression. Express answers so that all exponents are positive. Whenever an exponent is 0 or negative, we assume that the base is not 0.
( 8 x^-1 / 3 y^-1)^-2
A) 9 y^2 / 64 x^2
B) 64 x^2 / 9 y^2
C) 64 y^2 / 9 x^2
D) 9 x^2 / 64 y^2
E) -9 x^2 /64 y^2
I chose answer A) 9 y^2 / 64 x^2
- Please check answers) - Reiny, Thursday, September 9, 2010 at 6:11pm
1. first multiply both top and bottom of your fraction by 16x/(16x) to get
(x^2 - 16)/(16x-64)
= (x+4)/16 which is probably what you meant when you typed a)
2. (√a + a)(√a - a) = a - a^2 , which is b)
3. ( 8 x^-1 / 3 y^-1)^-2
= [(8/x) / (3/y)]^-2
= 9x^2/(64y^2) or D)
- Please check answers) - Hannah, Thursday, September 9, 2010 at 7:57pm
SO for #2 the answer is a-a^2 or +a^2?
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