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 − )(x + )

= x(x + ) - (x + )

= x(x) + x() - (x) - ()

= x^{2} + x - x -

= x^{2} -

= x^{2} - 6.25

Final Answer:

Hence, the simplified form of (𝑥 − 2.5)(𝑥 + 2.5) is x^{2} - 6.25.

^{2}+ x - x -

^{2}-

^{2}- 6.25

Final Answer:

Hence, the simplified form of (𝑥 − 2.5)(𝑥 + 2.5) is x

^{2}- 6.25.

This question can be easily solved by using the formula

(a + b)(a - b) = a2 - b2

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