(1-3w-3w2)3=…………
a) 16
b)64
c) 12
d) – 125
Solution:(1-3w-3w2)3 = (1-3(w+w2))3
As, 1+w+w2=0 = Or w+w2=-1
(1-3(-1))3 = (1+3)3 = (4)3 = 64
(9+4w+4w2)3=…………
a) 15
b) 25
c)125
d)(17)3
Solution:(9+4w+4w2)3
(9+4(w+w2))3 As, 1+w+w2=0
Or w+w2= - 1 = (9+4(-1))3
(9-4)3 = (5)3 = 125
Which of the following
shows “ The product of two consecutive positive number”
a)x(x+1)
b)x(x+2)
c)x(x+3)
d)x(x+4)
The sum of five times a number and the square of the number is:
a)5x2+x
b)5x+x2
c)(5x+x)2
d)5(x+x2)
Solution:Five
times a number=5x
square of number=x2
Sum of five times a number and square of number: =5x+x2
If length and width of a rectangle are x and y respectively then which of the following shows perimeter?
a)(x+y)2
b)2x-2y
c)2xy
d)2(x+y)
Solution:Perimeter=2(length+breadth)
Perimeter=2(x+y)
