Question

(2a+b) (a-b) (3b+4a)​

Answer 1

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=(2a+b) (a-b) (3b+4a)

=(2a² - 2ab + ab - b²) (3b+ 4a)

= ( 2a² - ab - b²) (3b+ 4a)

= ( 6a²b + 8a³ - 3ab² - 4a² b - 3b³ - 4ab² )

= 8a³ + 2a² b - 7ab² - 3b³

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Algebrαic identity:- An αlgebrαic identity is αn equαlity thαt holds for αny vαlues of its vαriαbles.

There αre some αlgebrαic identities —

• (a+b)² = a² + 2ab + b²
• (a-b)² = a² - 2ab + b²
• a²-b² = (a-b)(a+b)
• a²+b² = (a+b)² - 2ab
• (x+a)(x+b) = x² + (a+b)x + ab
• (a+b)³ = a³ + b³ + 3ab(a+b)
• (a-b)³ = a³ - b³ - 3ab(a-b)
• a³+b³ = (a+b)³-3ab(a+b)

⠀⠀⠀⠀⠀⠀⠀= (a+b) (a²- ab + b²)

• a³-b³ = (a-b)³+3ab(a-b)

⠀⠀⠀⠀⠀⠀⠀= (a-b) (a² + ab + b²)

• (a+b+c)² = a² + b² + c² + 2ab + 2bc + 2ca
• (a-b-c)² = a² + b² + c² - 2ab + 2bc - 2ca
• (a-b+c)² = a² + b² + c² - 2ab - 2bc + 2ca

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Answer 2

Step-by-step explanation:

=(2a+b) (a-b) (3b+4a)

=(2a² - 2ab + ab - b²) (3b+ 4a)

= ( 2a² - ab - b²) (3b+ 4a)

= ( 6a²b + 8a³ - 3ab² - 4a² b - 3b³ - 4ab² )

= 8a³ + 2a² b - 7ab² - 3b³