Question
What is the product of (3𝑥2 − 4𝑦)(3𝑥2 + 4𝑦)?
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: 16y2
(3x2 − 4y)(3x2 + 4y) = 3x2(3x2 + 4y) - 4y(3x2 + 4y)
= 3x2(3x2) + 3x2(4y) - 4y(3x2) - 4y(4y)
= 9x4 + 12x2y - 12x2y - 16y2
= 9x4 - 16y2
Final Answer:
Hence, the simplified form of (3𝑥2 − 4𝑦)(3𝑥2 + 4𝑦) is 9x4 - 16y2.
Final Answer:
Hence, the simplified form of (3𝑥2 − 4𝑦)(3𝑥2 + 4𝑦) is 9x4 - 16y2.
This question can be easily solved by using the formula
(a + b)(a - b) = a2 - b2
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