Question

6. Which of the following is a pair of like terms?
(a) -7xyz - 7x*yz
(b) - 10xyz, 3.xyz
(c) 3xyz, 3x y z
(d) 4xyz, 4xyz
7. Identify the binomial out of the following:
(a) 3xy + 5y - xạy
(b) xy-5y- x'y
(c) xy + y2 + 2x
(d) 3xy + 5y - xy
8. The sum of x - xy + 2y and -* + xy + 2y is
(a) Monomial and polynomial in y (b) Binomial and Polyno
(c) Trinomial and polynomial (d) Monomial and polyno
9. The
subtraction
of
5
times
of
y
from​

Answer 1

Answer:

Which of the following is a pair of like terms?

(a) –7xy2z, – 7x2yz (b) – 10xyz2, 3xyz2

(c) 3xyz, 3x2y2z2 (d) 4xyz2, 4x2yz

Solution:-

(b) – 10xyz2, 3xyz2

The terms having the same algebraic factors are called like terms.

7. Identify the binomial out of the following:

(a) 3xy2 + 5y – x2y (b) x2y – 5y – x2y

(c) xy + yz + zx (d) 3xy2 + 5y – xy2

Solution:-

(d) 3xy2 + 5y – xy2

Expression with two unlike terms is called a ‘Binomial’.

The expression 3xy2 + 5y – xy2 is further simplified as,

= 3xy2 + 5y – xy2

= (3xy2 – xy2) + 5y

= 3xy2 + 5y

8. The sum of x4 – xy + 2y2 and –x4 + xy + 2y2 is

(a) Monomial and polynomial in y (b) Binomial and Polynomial

(c) Trinomial and polynomial (d) Monomial and polynomial in x

Solution:-

(a) Monomial and polynomial in y

Consider the given equation, x4 – xy + 2y2 and –x4 + xy + 2y2

Sum of two expressions = (x4 – xy + 2y2) + (–x4 + xy + 2y2)

= x4 – xy + 2y2 – x4 + xy + 2y2

= (x4 – x4)+ (-xy + xy) + (2y2 + 2y2)

= 0 + 0 + 4y2

= 4y2

9. The subtraction of 5 times of y from x is

(a) 5x – y (b) y – 5x (c) x – 5y (d) 5y – x

Solution:-

(c) x – 5y