Question

The product of three monomials can be represented geometrically as _______ of a cuboid

Answer 1

Answer:

Step-by-step explanation:

Multiple Choice Questions

Question. 1 The product of a monomial and a binomial is a

(a) monomial (b) binomial

(c) trinomial (d) None of these

Solution. (b) Monomial consists of only single term and binomial contains two terms. So, the multiplication of a binomial by a monomial will always produce a binomial, whose first term is the product of monomial and the binomial’s first term and second term is the product of monomial and the binomial’s second term.

Question. 2 In a polynomial, the exponents of the variables are always (a)’integers (b) positive integers (c) non-negative integers (d) non-positive integers

Solution. (c) In a polynomial, the exponents of the variables are either positive integers or 0. Constant term C can be written as C x°. We do not consider the expressions as a polynomial which consist of the variables having negative/fractional exponent.

Question. 3 Which of the following is correct?

(a) (a−b)2=a2+2ab−b2 (b) (a−b)2=a2−2ab+b2

(c) (a−b)2=a2−b2 (d) (a+b)2=a2+2ab−b2

Solution.

ncert-exemplar-problems-class-8-mathematics-algebraic-expressions-identities-and-factorisation-1

 

Question. 4 The sum of -7pq and 2pq is

(a) -9pq   (b) 9pq

(c) 5pq   (d) -5pq

Solution.

ncert-exemplar-problems-class-8-mathematics-algebraic-expressions-identities-and-factorisation-2

 

Question. 5 If we subtract −3x2y2 from x2y2, then we get

ncert-exemplar-problems-class-8-mathematics-algebraic-expressions-identities-and-factorisation-3

Solution.

ncert-exemplar-problems-class-8-mathematics-algebraic-expressions-identities-and-factorisation-4

 

Question. 6 Like term as 4m3n2 is

(a)4m2n2 (b) −6m3n2

(c) 6pm3n2 (d) 4m3n

Solution. (b) We know that, the like terms contain the same literal factor. So, the like term as 4m3n2 , is −6m3n2, as it contains the same literal factor m3n2.