Math, asked by akshat8456, 11 months ago

expand 3 x minus 2 y whole cube​

Answers

Answered by riddhi7632
29

Answer:

using identity: (x-y) 3= 3x-2y - 3xy(x-y)

(2x-3y)3

=(2x)3- (3y)3-

3*2x*3y (2x-3y)

=8x3 - 27y3-

18xy * 2x + 18xy * 2y

=8x3 - 27y3 - 36

x2y + 36 xy2

Answered by pinquancaro
29

The expanded form of the expression is (3x-2y)^3=27x^3-8y^3-54x^2y+36xy^2

Step-by-step explanation:

Given : Expression (3x-2y)^3

To find : Expand the expression ?

Solution :

Using algebraic identity,

(a-b)^3=a^3-b^3-3a^2b+3ab^2

Here, a=3x and b=2y

(3x-2y)^3=(3x)^3-(2y)^3-3(3x)^2(2y)+3(3x)(2y)^2

(3x-2y)^3=27x^3-8y^3-54x^2y+36xy^2

Therefore, the expanded form of the expression is (3x-2y)^3=27x^3-8y^3-54x^2y+36xy^2

#Learn more

Expand 2 X + 3 y whole cube​

https://brainly.in/question/10335854

Similar questions