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