Answer:

ANSWERS OF ALL YOUR QUESTIONS ARE GIVEN BELOW.

Step-by-step explanation:

PLEASE MARK AS BRAINLIEST IF YOU UNDERSTAND IT WELL.

Q.2]

a) (9+4) X 1/8

= 13 X 1/8

= 13/8

b) ((2/3)^7)^5 X 2/3^-35

= using  (a^n)^m = a^nm

= 2/3^35 X 2/3^-35

= using a^n X a^m = a^n+m

= 2/3^35+(-35)

=2/3^ 35-35

= 2/3^0

using a^0 = 1

Therefore, 2/3^0 = 1

Q.3] Excluded by you

Q.4]5(x-2)+4(x-3)+5(x-4)

= 5x - 10 + 4x - 12 + 5x - 20

= 5x +4x +5x -10 -12 -20

= 14x -42

Q.5](7x-2y)^2

= using (a-b)^2 = 2 - 2ab + b^2

= (7x)^2 - 2 X 7x X 2y+ (2y)^2

= 49x^2 - 28xy + 4y^2

Q.6](103)^3

= 103^3 = (100 + 3)^3

= using (a+b)^3 = a^3 + 3A^2b + 3ab^2 + b^3

= 100^3 + 3 X 100^2 X 3 + 3 X 100 X 3^2 + 3^3

= 1000000 + 9 X 10000 + 300 X 9 + 27

= 1000000 + 90000 + 2700 + 27

= 1090000 + 2727

= 1092727

Q.7]

= (6a^2 - 7a - 5) ÷ (2a-1)

after dividing, quetioent = 3a - 2 and remainder = -7.

Division photo is attached find it.

Q.8]

Area = x^2 + 9x + 18

Breadth = x + 6

Length = ?

Let length = L

Area of rectangle = L X B

Therefore,

x^2 + 9x + 18 = (x+6) X L

and,

L = ( x^2 + 9x + 18) / (x+6)

Division photo is uploaded please find it.

Therefore, length = (x+3) units

PLEASE MARK AS BRAINLIEST IF YOU UNDERSTAND IT WELL.