What is the formula for the cube of the difference of two binomials?

To determine cube of a number means multiplying a number with itself three times similarly, cube of a binomial means multiplying a binomial with itself three times.

(a - b) (a - b) (a - b) = (a - b)

or, (a - b)

= (a – b) (a

[Using the formula of (a + b)

= a (a

= a

= a

Therefore, (a - b)

Thus, we can write it as; a = first term, b = second term

(First term – Second term)

(a - b)

= a

Worked-out examples to find the cube of the difference of two binomials:

We know, (a - b)

(3x – 4y)

Here, a = 3x, b = 4y

= (3x)

= 27x

= 27x

Therefore, (3x – 4y)

(997)

We know, (a - b)

Here, a = 1000, b = 3

(1000 – 3)

= (1000)

= 1000000000 – 9 (1000000) + (3000) 9 – 27

= 1000000000 – 9000000 + 27000 – 27

= 991026973

Therefore, (997)

Thus, to expand the cube of the difference of two binomials we can use the formula to evaluate.

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