Obtain the product of   (i) xy, yz, zx   (ii ) a, -a²,a³
(iii) 2, 4y, 8y², 16y³   (iv) a, 2b, 3c, 6abc   (v) m, - mn, mnp

Solution:

Multiplication of two algebraic expressions or variable expressions involves multiplying two expressions that are combined with arithmetic operations such as addition, subtraction, multiplication, division, and contain constants, variables, terms, and coefficients.

(i) xy × yz × zx = x² y²z²

(ii) a × (- a² ) × a³ = - a⁶

(iii) 2 × 4y × 8y² × 16 y³ = 2 × 4 × 8 × 16 × y × y² × y³ = 1024 y⁶

(iv) a × 2b × 3c × 6abc = 2 × 3 × 6 × a × b × c × abc = 36a²b²c²

(v) m × (- mn) × mnp = - m³n² p

☛ Check: NCERT Solutions for Class 8 Maths Chapter 9

Video Solution:

Obtain the product of (i) xy, yz, zx (ii ) a, a²,a³ (iii) 2, 4 y, 8 y², 16 y³ (iv) a, 2b, 3c, 6abc (v) m, - mn, mnp

NCERT Solutions Class 8 Maths Chapter 9 Exercise 9.2 Question 5

Summary:

The product of the given expressions (i) xy, yz, zx (ii ) a, a²,a³ (iii) 2, 4 y, 8 y², 16 y³ (iv) a, 2b, 3c, 6abc (v) m, - mn, mnp are: (i) x² y²z², (ii) - a⁶, (iii) 1024 y⁶, (iv) 36a²b²c², (v) - m³n² p

☛ Related Questions:

• Find the product of the following pairs of monomials.  (i) 4,7 p (ii ) -4p, 7p (iii ) -4p, 7pq (iv) 4p3, 3p (v) 4p, 0
• Find the areas of rectangles with the following pairs of monomials as their lengths and breadths respectively. (i) ( p, q) (ii) (10m, 5n) (iii) (20x2, 5y2) (iv) (4x, 3x2) (v) (3mn, 4np)
• Complete the table of products.
• Obtain the volume of rectangular boxes with the following length, breadth and height respectively. (i) 5a, 3a2,7a4 (ii) 2 p, 4q, 8r (iii) xy, 2x2 y, 2xy2 (iv) a, 2b, 3c