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