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)

= 9𝑦^{2} + 15𝑦 - 15𝑦 - 25

= 9𝑦^{2} - 25

Final Answer:

Hence, the simplified form of (3𝑦 − 5)(3𝑦 + 5) is 9𝑦^{2} - 25.

^{2}+ 15𝑦 - 15𝑦 - 25

^{2}- 25

Final Answer:

Hence, the simplified form of (3𝑦 − 5)(3𝑦 + 5) is 9𝑦

^{2}- 25.

This question can be easily solved by using the formula

(a + b)(a - b) = a2 - b2

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