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Find the product
(i) (5 - 2x)(3 + x) (ii) (x + 7y)(7x - y)
(iii) (a²+ b)(a + b²) (iv) (p²- q²)(2p + q)

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) (5 - 2x)(3 + x)

= 5(3 + x) - 2x(3 + x)

= 15 + 5x - 6x - 2x²

= 15 - x - 2x²

(ii) (x + 7y)(7x - y)

= x(7x - y) + 7y(7x - y)

= 7x² - xy + 49xy - 7y²

= 7x² + 48xy - 7y²

(iii) (a² + b)(a + b²)

= a²(a + b²) + b(a + b²)

= a³+ a²b² + ab + b³

(iv) (p² - q²)(2p + q)

= p²(2p + q) - q²(2p + q)

= 2p³ + p²q - 2pq² - q³

☛ Check: NCERT Solutions for Class 8 Maths Chapter 9

Video Solution:

Find the product. (i) (5 – 2x) (3 + x) (ii) (x + 7y) (7x – y) (iii) (a² + b) (a + b² ) (iv) (p²- q²)(2p + q)

NCERT Solutions Class 8 Maths Chapter 9 Exercise 9.4 Question 2

Summary:

The product of the given expressions (i) (5 – 2x) (3 + x) (ii) (x + 7y) (7x – y) (iii) (a² + b) (a + b² ) (iv) (p²- q²)(2p + q) are i) 15 - x - 2x² ii) 7x² + 48xy - 7y² iii) a³+ a²b² + ab + b³ iv) 2p³ + p²q - 2pq² - q³

☛ Related Questions:

Find the product (i) (5 - 2x)(3 + x) (ii) (x + 7y)(7x - y) (iii) (a2 + b)(a + b2) (iv) (p2 - q2)(2p + q)

Find the product. (i) (5 – 2x) (3 + x) (ii) (x + 7y) (7x – y) (iii) (a² + b) (a + b² ) (iv) (p² - q²)(2p + q)

Find the product
(i) (5 - 2x)(3 + x) (ii) (x + 7y)(7x - y)
(iii) (a²+ b)(a + b²) (iv) (p²- q²)(2p + q)

Find the product. (i) (5 – 2x) (3 + x) (ii) (x + 7y) (7x – y) (iii) (a² + b) (a + b² ) (iv) (p²- q²)(2p + q)