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Find the product and simplify.

Question : Find the product and simplify. : 2163457

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Find the product and simplify.

1) (3x2/4)⋅(16/x3)

A) (x/12)

B) (12/x)

C) (12x2/x3)

D) (48x2/4x3)

2) (3z3/4)⋅(24/z2)

A) (18z2/z3)

B) 18z

C) (18/z)

D) (z/18)

3) (z3/25z)⋅(5/2z2)

A) (1/10z)

B) (z/10)

C) (z3/10z2)

D) (1/10)

4) (4x8y/24x8y7)⋅y10

A) (x16y3/6)

B) (y4/6)

C) (x16y4/6)

D) (y3/6)

5) (3x3y10/-27xy13)⋅y3

A) (x3/-9)

B) (x3/-9y)

C) (x2/-9)

D) (x2y/-9)

6) 8x4⋅(x2y/80x3y2)

A) (x5/10y)

B) (x3/10y)

C) (x6y/10x3y2)

D) (1/80xy)

7) (7/x + 7)⋅(x/8)

A) (7x/8(x + 7))

B) (1/8)

C) (7/8)

D) (x/(x + 8))

8) (3y/6y + 3)⋅(14y + 7/6)

A) (7/6)

B) (y/6)

C) (7y/18)

D) (7y/6)

9) (5p - 5/p)⋅(2p2/8p - 8)

A) (4/5p)

B) (40p2 + 80p + 40/2p3)

C) (5p/4)

D) (10p3 - 10p2/8p2 - 8p)

10) (2p - 2/3)⋅(5p2/p2 - p)

A) (3/10p)

B) (10p/3)

C) (10p3 - 10p2/3p2 - 3p)

D) (10p - 10/-3p)

11) (x2 + x/3)⋅(24/x + 1)

A) 8x

B) 8x2

C) (8x2 + 8x/x + 1)

D) (x/8)

12) (t2 - r2/t + r)⋅(t/t2 - tr)

A) 1

B) t

C) -t

D) - (1/t)

13) ((a - z)2/a + z)⋅(a/a2 - az)

A) 1

B) (a - z/a + z)

C) (z/a + z)

D) (a + z/a - z)

14) (x3 + 1/x3 - x2 + x)⋅(3x/-33x - 33)

A) - (1/11)

B) - (x2 + 1/11)

C) (x + 1/11(-x - 1))

D) - (x3 + 1/11(x + 1))

15) (x2 + 10x + 24/x2 + 8x + 12)⋅(x2 + 10x + 16/x2 + 12x + 32)

A) (x + 4/x + 2)

B) (x + 2/x + 8)

C) (1/x + 8)

D) 1

16) (x2 + 13x + 40/x2 + 14x + 48)⋅(x2 + 6x/x2 - 3x - 40)

A) (x(x + 6)/x - 8)

B) (x/x2 + 14x + 48)

C) (x/x - 8)

D) (1/x - 8)

17) (9x4 - 72x/3x2 - 12)⋅(x2 + x - 2/4x3 + 8x2 +16x)

A) (3(x - 1)/4)

B) (3x(x - 1)(x - 2)2/4(x + 2)2)

C) (3x(x - 1)/4)

D) (3x(x + 1)/4)

18) (x2 - 19x + 84/x2 - 16x + 55)⋅(x2 - 11x + 30/x2 - 17x + 70)

A) ((x + 12)(x + 6)/(x + 11)(x + 10))

B) ((x - 12)/(x - 10))

C) ((x - 12)(x - 6)/(x - 11)(x - 10))

D) ((x2 - 19x + 84)(x2 - 11x + 30)/(x2 - 16x + 55)(x2 - 17x + 70))

Solve the problem.

19) Find the area of the rectangle.

(7x/x2 - 121) feet

(x + 11/3x3) feet

A) (7x2/3(x - 11)) sq. ft

B) (7/3x2(x + 11)) sq. ft

C) (11/3x3 - 33) sq. ft

D) (7/3x2(x - 11)) sq. ft

Find the quotient and simplify.

20) (7x11/9x6) ÷ (14x/18x4)

A) x8

B) (7x8/9)

C) (98x2/162)

D) (49x2/81)

21) (8m2a/7ma2) ÷ (56m2a2/40ma)

A) (8m2/5)

B) (8/5a2)

C) (8ma/5)

D) (40/49a2)

22) (6y3/z5) ÷ (9y3z5/8)

A) (16/3z10)

B) (16y6/3z10)

C) (16/3)

D) (27y6/4)

23) (2x2/5) ÷ (x3/15)

A) (30x2/5x3)

B) (x/6)

C) (6x2/x3)

D) (6/x)

24) ((y - 2)2/3) ÷ (3y - 6/9)

A) (3(y - 2)2/3y - 6)

B) y - 2

C) (1/y - 2)

D) ((y - 2)3/9)

25) ((x - 7)(x + 6)/5x) ÷ (4x - 28/20x7)

A) x7(x + 6)

B) (x6(x + 6)/4)

C) 4x6(x + 6)

D) x6(x + 6)

26) (60x5/x2 - 1) ÷ (x12/(x + 1)2)

A) (60x60/(x - 1)(x + 1)3)

B) (60x7(x + 1)/(x - 1))

C) (60(x + 1)/x7(x - 1))

D) (5(x + 1)/x7(x - 1))

27) ((r - x)2/r + x) ÷ (r2 - rx/r)

A) ((r - x)3/r + x)

B) (r + x/r - x)

C) (x/r + x)

D) (r - x/r + x)

28) (b2 - m2/b + m) ÷ (b/b2 + bm)

A) - (1/b)

B) b

C) b2 - m2

D) b - m

29) (x + 9/1 - x) ÷ (x2 - 12x + 27/x2 - 10x + 9)

A) (x - 9/x - 3)

B) - (x + 9/x - 3)

C) - (x - 9/x - 3)

D) - ((x + 9)(x - 9)/(x - 1)2)

30) (x + 6) ÷ (x2 - 7x + 6/1 - x)

A) -(x - 6)(x + 6)

B) -1

C) - (x - 6/x + 6)

D) - (x + 6/x - 6)

31) (9x - 9/5) ÷ (3x - 3/35)

A) (1/21)

B) (7(9x - 9)/3x - 3)

C) 21

D) (27(x - 1)2/175)

32) ((x + 7)/(x + 7)(4x + 3)) ÷ (4/4x + 3)

A) 1

B) 4

C) (1/4)

D) (4/(4x + 3)2)

33) (x2 - 4x + 4/4x - 8) ÷ (9x - 18/36)

A) 1

B) (x2 - 4x + 4/(x - 2)2)

C) 36

D) ((x - 2)2/16)

34) (z2 + 11z + 30/z2 + 13z + 42) ÷ (z2 + 5z/z2 + 15z + 56)

A) (z + 8/z2 + 7z)

B) (z/z2 + 13z + 42)

C) (z + 8/z)

D) z + 8

35) (30x2 - 49xy + 20y2/35x2 - 48xy + 16y2) ÷ (30x2 - 13xy - 10y2/20x2 - 17xy - 10y2)

A) ((6x + 5y)2/(4x + 5y)(7x + 4y))

B) ((6x - 5y)2/(4x - 5y)(7x - 4y))

C) (4x - 5y/7x - 4y)

D) ((7x + 4y)/(4x + 5y))

36) (p2 - 3p + pq - 3q/12p2 - 12q2) ÷ (p - 3/7p - 7q)

A) 1

B) (7(p2 - 3p + pq - 3q)/12(p + q)(p - 3))

C) ((p - 3)2/84(p - q)2)

D) (7/12)

 

Solution
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