Maths-
General
Easy

Question

Write the product in the standard form. (𝑥 − 2.5)(𝑥 + 2.5)

Hint:

The methods used to find the product of binomials are called special products.
Difference of squares is a case of a special product which occurs when we multiply a binomial by another binomial with the same terms but the opposite sign

The correct answer is: 6.25.


    (x − 2.5)(x + 2.5) = (x − 5 over 2)(x + 5 over 2)

    = x(x + 5 over 2) - 5 over 2(x + 5 over 2)

    =  x(x) + x(5 over 2) - 5 over 2(x) - 5 over 2(5 over 2)

    = x2 + 5 over 2x - 5 over 2x -25 over 4

    = x225 over 4

    = x2 - 6.25
    Final Answer:
    Hence, the simplified form of (𝑥 − 2.5)(𝑥 + 2.5) is x2 - 6.25.
     

    This question can be easily solved by using the formula
    (a + b)(a - b) = a2 - b2

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