Question

question 8(x+y)^3-50(x+y)
ans 2(x+y) ( 2x+2y-5) (2x+2y+5)​

Answer 1

Given :

Factories

8(x+y)^3-50(x+y)

Solution :

= 8(x+y)³ - 50(x+y)

Take 2(x+y) as a common

= 2(x+y)[4(x+y)² - 25]

Applying identity a²-b² = (a+b)(a-b)

= 2(x+y) [{2(x+y)}² - (5)²]

= 2(x+y) [(2x+2y+5)(2x+2y-5)]

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

Some important identities :

• (a+b)² = a²+b²+2ab
• (a-b)² = a²+b²-2ab
• a²-b² = (a+b)(a-b)
• a³-b³ = (a-b)(a²+ab+b²)
• a³+b³ = (a+b)(a²-ab+b²)
• (a+b)³ = a³+b³+3ab(a+b)
• (a-b)³ = a³-b³-3ab(a-b)

Answer 2

it's the right answer...


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