Algebraic Expressions and Identities Test

Result

Algebraic Expressions and Identities Test - 15

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Weekly Quiz Competition

Question 1
1 / -0

If (3a + 1)² + (b − 1)² + (2c − 3)³ = 0, then the value of (3a+b+2c) is equal to:

A
3

B
-1

C
2

D
5
Question 2
1 / -0

If (a + b) = 5, then find a² − ab + b² (given a³ + b³ = 8)

A
1.6

B
2

C
3

D
0

Solution

a + b = 5 While a³ + b³ = (a + b)(a² − ab + b²) ⇒ 8 = 5 (a² − ab + b²) ∴ (a² − ab + b²) = 8/5 = 1.6
Question 3
1 / -0

If HCF and LCM of two terms a and b are x and y respectively and a + b = x + y ,then x² + y²= ?

A
a² − b²

B
2a² + b²

C
a² + b²

D
a² + 2b²

Solution

HCF×LCM=Product of nos. ⇒ x × y = a × b Also, a + b = x + y Squaring (x + y)² = (a + b)² x² + y² + 2xy = a² + b² + 2 ab But xy = ab ⇒ x² + y² = a² + b².