Math, asked by karishma36, 1 year ago

(4x-3y)^3-(4x+3y)^3 simplify

Answers

Answered by sivaprasath
12
Solution :

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Given :

To simplify,.

(4x - 3y)³ - (4x + 3y)³

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We know that ,

(a + b)³ = a³ + 3ab(a + b) + b³

&

(a - b)³ = a³ - 3ab(a - b) - b³

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So,

By substituting the values of a & b,.

(a = 4x & b = 3y),.

⇒ (4x - 3y)³ - (4x + 3y)³

⇒ [(4x)³ - 3(4x)(3y)(4x - 3y) - (3y)³ ] - [(4x)³ + 3(4x)(3y)(4x + 3y) + (3y)³ ]

⇒ [64x³ - 36xy(4x - 3y) - 27y³] - [64x³ + 36xy(4x + 3y) + 27y³]

⇒ 64x³ - 36xy(4x - 3y) - 27y³ - 64x³ - 36xy(4x + 3y) - 27y³

⇒ -36xy(4x - 3y + 4x + 3y) - 54y³

⇒ -36xy(8x) - 54y³

⇒ -288x²y - 54y³

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Answered by gurveerdhaliwal639
0

Answer:

Step-by-step explanation:

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