Question
Write the product in standard form. (3𝑦 − 5)(3𝑦 + 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: 25
(3𝑦 − 5)(3𝑦 + 5)= 3𝑦(3𝑦 + 5) − 5(3𝑦 + 5)
= 3𝑦(3y) + 3𝑦(5) - 5(3𝑦) - 5(5)
= 9𝑦2 + 15𝑦 - 15𝑦 - 25
= 9𝑦2 - 25
Final Answer:
Hence, the simplified form of (3𝑦 − 5)(3𝑦 + 5) is 9𝑦2 - 25.
Final Answer:
Hence, the simplified form of (3𝑦 − 5)(3𝑦 + 5) is 9𝑦2 - 25.
This question can be easily solved by using the formula
(a + b)(a - b) = a2 - b2
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