SOLUTION: 1. 5 over 2x plus x over 2 2. 4y2(this is y squared) +16y/4y

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Question 42224: 1. 5 over 2x plus x over 2

2. 4y2(this is y squared) +16y/4y
Answer by tutorcecilia(2152) About Me  (Show Source):
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1. 5 over 2x plus x over 2
5/2x + x/2
Cross-multiply; multiply the denominators:
[(5)(2) + (2x) (x)]/(2x)(2)
.
Combine terms:
10 + 2x^2/4x
.
Factor the numerator:
2(5+x^2)/4x
.
Cancel out:
5+x^2/2x
.
.

2. 4y^2/1 + 16y/4y
.
Cross multiply; multiply the denominators
..
(4y^2)(4y)/(1)(16y)/(1)(4y).
.
Combine terms:
16y^3 + 16y/4y.
.
Factor the numerator;
16y(y^2 + 1)/4y
.
Cancel:
4(y^2 + 1) or 4y^2 + 4