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21. Divide x'-y by x-y
a. x² + xy + y?
b. x? + 2xy + y?
c. x - xy-y2
d. x + y
22. What is the largest factor common to 12x² and 8xS?
d. 24x
a. 4x
b. 4x
c. 24x2
23. Which of the following is the square of (3x - 2)?
d. 9x2 + 4
a. 9x2 - 6x + 4
b. 9x2 -12x + 4
c.9x² -4
24. Find the complete factorization of 2x4 - 32
a. 2(x-16)
d. 21x2-4)(x-2)(x+2)
c. 2(x2+4)(x+2)(x-2)
b. 2(x²+4)(x2-4)
25. Which does not belong to the group?
d. 8n'm
c. 0.003m?n?
b.-500n?m?
a. 8m?n?
26. A regular octagon has a side of 8-x. What is its perimeter?
d.32 + 4x
c. 64 - 8x
b. 16 - 2x
a. 32 - 4x
27. What is the area of a square whose side measures 3xy??
d. 9x'y
c. 9xyº
a. 6xy9
b. 6x²y
28. The length of the rectangle is x cm and its area is (x®-x)cm². What is the measure of its width
d.x+1
b. x + 1
C. X-1
a. x-1



Sagot :

Answer:

21.We want to express the express (x+y)/(x-y) as [ -2x / (y-x) ] - 1.

In order to form it into that form we will first take out -1 common from the denominator to get

(x+y)/(x-y) = - ( x+y)/ (y-x) . Now divide the numerator by the denominator, quotient being 1 and remainder 2x.

Thus we get: (x+y)/(x-y) = - ( x+y)/ (y-x) = - [ 1 + 2x / ( y-x) ] = -1 - 2x / ( y-x)

22. D.

23.Simplify square root of 3x^2

√3x2

Reorder 3 and x2.

√x2⋅3

Pull terms out from under the radical.

x√3

24. C.

1+1=3

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