Maths-
General
Easy

Question

Write the product in standard form. (3𝑦 − 5)(3𝑦 + 5)

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: 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.
     

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

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