Question

Question 45.

The volume of a cuboid of dimensions a, b, c is

(a) abc

(b) a²b²c²

(c) a³b³c³

(d) none of these.

Answer


Question 46.

The product of x², – x³, – x

4

is

(a) x9

(b) x5

(c) x7

(d) x6

Answer


Question 47.

(x – y)(x + y) + (y – z)(y + z) + (z – x) (z + x) is equal to

(a) 0

(b) x² + y² + z²

(c) xy + yz + zx

(d) x + y + z.

Answer.


Question 48.

(a + b)² is equal to

(a) a² + b² – 2ab

(b) a² + b² + 2ab

(c) a² + b²

(d) 2ab.

Answer​

Answer 1

Answer:

1. option a
2. option b
3. option c
4. option b

Hope it helps!

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Answer 2

Given: a,b,c,(a+b)²,x³,-x

To find : values of Given expressions

Solution:

Part1-

Volume of cuboid of a,b,c is :

=a×b×c

= abc ( cuboid is 3D structure have 3 sides)

Part 2-

Product of x²,-x³,-x

= x²×(-x³)×(-x)

= x².x³.x ( product of negative × negative is positive)

= x⁶

Part 3-

=(x-y)(x+y)+( y-z)(y+z)+(z-x)(z+x)

= x²-y²+y²-z²+z²-x²

=0

Part 4-

=(a+b)²

=(a+b)(a+b)

= a²+ab +ab + b²

= a²+b²+ 2ab ( ab + ab = 2ab)

Answer: Option a is correct

Option d is correct

Option a is correct

Option b is correct