Question

find the product of (2/5+x)(2/5+x)(4/25+x^2)​

Answer 1

Answer :-

Product of (2/5 + x)(2/5 - x)(4/25 + x²) is (16/625 - x²)

Explanation :-

(2/5 + x)(2/5 - x)(4/25 + x²)

= {(2/5)² - (x)²}(4/25 + x²)

[∵ (a + b)(a - b) = a² - b² and her a = 2/5 and b = ]

= (2²/5² - x²)(4/25 + x²)

[∵ (a/b)ᵐ = aᵐ/bᵐ and here a = 2, b = 5, m = 5]

= (4/25 - x²)(4/5 + x²)

= {(4/25)² - (x²)}

[∵ (a - b)(a + b) = a² - b² and her a = 4/25 and b = x]

= (4²/25² - x²)

[∵ (a/b)ᵐ = aᵐ/bᵐ and here a = 4, b = 25, m = 2]

= (16/625 - x²)

∴ the product of (2/5 + x)(2/5 - x)(4/25 + x²) is (16/625 - x²)