Math, asked by jamalsheikh08, 7 months ago

1 upon 2 whole cube x 3 upon 2 square x 2 whole cube​

Answers

Answered by amarjeetyadav30
1

Answer:

The formula of (a-b) is

(a−b)3 = (a3−3a2b+3ab2−b3)

Here is the method to derive it

For this you have to derive it according to the algebraic rules

Firstly take it as LHS= (a−b)3

Just open the cube form

(a−b)3 = (a−b)(a−b)(a−b)

Multiply any two terms of above equation

(a−b)3 = [a(a−b)−b(a−b)](a−b)

(a−b)3 = (a2−ab−ba−b2)(a−b)

As we know in algebra ab=ba

So that

(a−b)3 = (a2−ab−ab+b2)(a−b)

(a−b)3 = (a2−2ab+b2)(a−b)

Again multiply remaining terms

(a−b)3 = [a2(a−b)−2ab(a−b)+b2(a−b)]

(a−b)3 = (a3−a2b−2a2b+2ab2+ab2−b3)

Add similar terms

(a−b)3 = (a3−3a2b+3ab2−b3)

Now we have got the formula of cube form of (a-b)

(a−b)3 = (a3−3a2b+3ab2−b3)

Step-by-step explanation:

hope its help you

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