Maths-
General
Easy

Question

Write the product in the standard form. (𝑥2 − 2𝑦)(𝑥2 + 2𝑦)

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: 4y2.


    (x2 − 2y)(x2 + 2y) = x2(x2 + 2y) - 2y(x2 + 2y)

    =  x2(x2) + x2(2y) - 2y(x2) - 2y(2y)

    = x4 + 2x2y - 2x2y - 4y2

    = x4 - 4y2
    Final Answer:
    Hence, the simplified form of (𝑥2 − 2𝑦)(𝑥2 + 2𝑦) is x4 - 4y2.
     

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

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