Math, asked by beenashrivastev, 3 months ago

what is formula of x- y whole cube​

Answers

Answered by naitikkumarpnc
3

Answer:

Ans. (x-y)³ = x³ - y³ - 3xy(x-y)

Step-by-step explanation:

HOPE IT HELPS

Answered by kmousmi293
1

Answer:

The algebraic identity (x - y)^{3} can be expressed as (x - y)^{3}   = x^{3} -3x^{2} y +3y^{2} x -y^{2}

Step-by-step explanation:

The given algebraic expression is (x - y)^{3}. An algebraic expression is a polynomial that contains variables and constants, x and y are variables.

We need to evaluate the formula (x - y)^{3}.

where x and y are variables and we need to evaluate the cube of their differences.

So, the expression (x - y)^{3} is actually an algebraic expression and also happens to be an algebraic identity,

There are more algebraic expressions other than this, such as (a-b)^{2}= a^{2} -2ab+b^{2}  (a+b)^{2}= a^{2} +2ab+b^{2} many more.

So, we express (x - y)^{3} as ;

(x - y)^{3} = x^{3} -y^{3} -3xy(x-y)

Which can be further simplified as,

(x - y)^{3} = x^{3} -y^{3} -3x^{2} y + 3xy^{2}  = x^{3} -3x^{2} y +3y^{2} x -y^{2}

So, finally,

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

Therefore, the algebraic identity (x - y)^{3} can be expressed as (x - y)^{3}   = x^{3} -3x^{2} y +3y^{2} x -y^{2}

There are more algebraic expressions other than this, such as (a-b)^{2}= a^{2} -2ab+b^{2}  (a+b)^{2}= a^{2} +2ab+b^{2} many more.

To read more about algebraic identity, visit

https://brainly.in/question/12580706

https://brainly.in/question/9623615

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