How to find the square of the difference of two binomials?

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

= a

= a

= a

Therefore, (a - b)

Square of the difference of two terms = square of 1

This is called the binomial square.

**It
is stated as:** the square of
the difference of two binomials (two unlike terms) is the square of the first
term plus the second term minus twice the product of the first and the second
term.

Worked-out examples on square of the difference of two binomials:

Square of 1

Here, a = 4x and y = 7y

= (4x)

= 16x

Therefore, (4x + 7y)

We know (a - b)

Here, a = 3m and b = 5/6 n

= (3m)

= 9 m

= 9 m

Therefore, (3m - 5/6 n)

(999)

We know, (a – b)

Here, a = 1000 and b = 1

(1000 – 1)

= (1000)

= 1000000 + 1 – 2000

= 998001

Therefore, (999)

(0.1 m – 0.2 n) (0.1 m – 0.2 n) = (0.1 m – 0.2 n)

We know (a – b)

Here, a = 0.1 m and b = 0.2 n

= (0.1 m)

= 0.01 m

Therefore, (0.1 m – 0.2 n) (0.1 m – 0.2 n) = 0.01 m

From the above solved problems we come to know square of a number means multiplying a number with itself, similarly, square of the difference of two binomial means multiplying the binomial by itself.

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