Maths-
General
Easy

Question

Find the product. (2𝑥 − 4)(2𝑥 + 4)

hintHint:

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: 16


    (2𝑥 − 4)(2𝑥 + 4) = 2𝑥(2𝑥 + 4) − 4(2𝑥 + 4)

    =  2𝑥(2𝑥) + 2𝑥(4) - 4(2𝑥) - 4(4)

    = 4𝑥2 + 8𝑥 - 8𝑥 - 16

    = 4𝑥2 - 16
    Final Answer:
    Hence, the simplified form of (2𝑥 − 4)(2𝑥 + 4) is 4𝑥2 - 16
     

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

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