Algebraic Expressions Test

Result

Algebraic Expressions Test - 6

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Question 1
1 / -0

lf A = 10w³+ 20w²− 55w + 60,

B = − 25w²+ 15w − 10and

C = 5w²− 10w + 20, then

A + B −C is equal to _____.

A
10w³+ 10w²+ 30w + 30

B
10w³+ 10w²− 30w + 30

C
10w³− 10w²− 30w + 30

D
None of these

Solution

A + B −C = (10w³+ 20w²− 55w + 60)

+ (−25w²+ 15w − 10) −(5w²− 10w + 20) Bring all the like terms together, we get

A + B − C = 10w³+ (20w²− 25w²− 5w²)

+ (− 55w + 15w + 10w) + (60 − 10 − 20)

= 10w²− 10w²− 30w + 30
Question 2
1 / -0

By how much is a⁴+ 4a²b²+ b⁴ more than a⁴− 8a²b²+ b⁴?

A
12a²b²

B
−12a²b²

C
2a⁴+ 2b⁴

D
10a²b²

Solution

Required expression

=(a⁴+ 4a²b²+ b⁴) − (a⁴− 8a²b²+ b⁴)

=a⁴+ 4a²b²+ b⁴− a⁴+ 8a²b²− b⁴=12a²b²
Question 3
1 / -0

If 'n? denotes a natural number, what does '2n' denote?

A
A prime number

B
An even number

C
An odd number

D
A composite number

Solution

2n +1 denotes an even number as it is exactly divisible by 2