Maths-
General
Easy

Question

What is the relationship between the sign of the binomial and the sign of the second term in the product?

Hint:

The methods used to find the product of binomials are called special products.
Multiplying a number by itself is often called squaring.
For example (x + 3)(x + 3) = (x + 3)2

The correct answer is: binomial.


    Let’s say the binomial is a + b
    If we find its square
    (a + b)2 = (a + b)(a + b) = a(a + b) +b(a + b)

    = a2 + ab + ab + b2

    = a2 + 2ab + b2
    Similarly if we take binomial a - b
    If we find its square

    (a - b)2 = (a-b)(a-b) = a(a-b) -b(a-b)

    = a2 - ab - ab + b2

    = a2 - 2ab + b2
    So, from both the results we can see that the sign of second term in the product is same as the binomial.
    Final Answer:
    Hence, the sign of second term in the product is same as the binomial.

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