**67**. *a*(*b* + *c*) = *ab* + *ac* is

- (A) commutative property
- (B) distributive property
- (C) associative property
- (D) closure property

**66**. (*a* + *b*)*c* = *ac* + *bc* is

- (A) commutative property
- (B) distributive property
- (C) associative property
- (D) closure property

**65**. The product of a monomial and a binomial is a

- (A) monomial
- (B) binomial
- (C) trinomial
- (D) none of these

**64**. In a polynomial, the exponents of the variables are always

- (A) integers
- (B) positive integers
- (C) non-negative integers
- (D) non-positive integers

**63**. The product of two polynomials is a

- (A) monomial
- (B) binomial
- (C) trinomial
- (D) polynomial

**62**. Which is the like term as 24*a*^{2}*bc*?

- (A) 13 × 8
*a*× 2*b*×*c*×*a* - (B) 8 × 3 ×
*a*×*b*×*c* - (C) 3 × 8 ×
*a*×*b*×*c*×*c* - (D) 3 × 8 ×
*a*×*b*×*b*×*c*

**61**. Which of the following is an identity?

- (A) (
*p*+*q*)^{2}=*p*^{2}+*q*^{2} - (B)
*p*^{2}–*q*^{2}= (*p*–*q*)^{2} - (C)
*p*^{2}–*q*^{2}=*p*^{2}+ 2*pq*–*q*^{2} - (D) (
*p*+*q*)^{2}=*p*^{2}+ 2*pq*+*q*^{2}

**60**. Which of the following is correct?

- (A) (
*a*–*b*)^{2}=*a*^{2}+ 2*ab*–*b*^{2} - (B) (
*a*–*b*)^{2}=*a*^{2}– 2*ab*+*b*^{2} - (C) (
*a*–*b*)^{2}=*a*^{2}–*b*^{2} - (D) (
*a*+*b*)^{2}=*a*^{2}+ 2*ab*–*b*^{2}

**59**. If (*x* + *a*)(*x* + *b*) = *x*^{2} + (*a* + *b*)*x* + *p*, then *p* is equal to

- (A) (
*a*+*b*)*x* - (B)
*bx* - (C)
*ab* - (D)
*ax*

**58**. If (*x* – *a*)(*x* + *b*) = *x*^{2} – (*a* – *b*)*x* + *p*, then *p* is equal to

- (A)
*a*+*b* - (B)
*a*–*b* - (C) –
*ab* - (D)
*ab*

**57**. If (*x* + *a*)(*x* – *b*) = *x*^{2} + *px* – *ab*, then *p* is equal to

- (A)
*a*+*b* - (B)
*a*–*b* - (C) –
*ab* - (D)
*ab*

**56**. If (*x* – *a*)(*x* – *b*) = *x*^{2} + *px* + *ab*, then *p* is equal to

- (A) (
*a*+*b*) - (B) – (
*a*+*b*) - (C)
*ab* - (D) –
*ab*

**55**. Like term as 4*m*^{3}*n*^{2} is

- (A) 4
*m*^{2}*n*^{2} - (B) –6
*m*^{3}*n*^{2} - (C) 6
*pm*^{3}*n*^{2} - (D) 4
*m*^{3}*n*

**54**. Coefficient of *y* in the term –*y*/3 is

- (A) – 1
- (B) – 3
- (C) −1/3
- (D) 1/3

**53**. The coefficient of the term –6*x*^{2}*y*^{2} is

- (A) 6
- (B) –6
- (C) –6
*x*^{2} - (D) –6
*y*^{2}

**52**. The numerical coefficient in –37*abc* is

- (A) 37
- (B) –37
- (C) –37
*a* - (D) –37
*bc*

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Simple Identities & Expressions In ALGEBRA Presented Decently

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