(4x-3y)^3-(4x+3y)^3 simplify
Answers
Answered by
12
Solution :
_____________________________________________________________
Given :
To simplify,.
(4x - 3y)³ - (4x + 3y)³
_____________________________________________________________
We know that ,
(a + b)³ = a³ + 3ab(a + b) + b³
&
(a - b)³ = a³ - 3ab(a - b) - b³
________________________
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
_____________________________________________________________
Hope it Helps !!
⇒ Mark as Brainliest,.
_____________________________________________________________
Given :
To simplify,.
(4x - 3y)³ - (4x + 3y)³
_____________________________________________________________
We know that ,
(a + b)³ = a³ + 3ab(a + b) + b³
&
(a - b)³ = a³ - 3ab(a - b) - b³
________________________
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
_____________________________________________________________
Hope it Helps !!
⇒ Mark as Brainliest,.
Answered by
0
Answer:
Step-by-step explanation:
Similar questions