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3 years ago

Factor this expression completely. 36y2 - 1

Mathematics

2 answers:

Gennadij [26K]3 years ago

7 0

$36y^{2}$ -1= (6y-1)(6y+1)

shtirl [24]3 years ago

5 0

Answer:

(6y - 1)(6y + 1)

Step-by-step explanation:

To factorize completely, we may adopt the difference of 2 squares approach. The theory states that difference of two square is the product of the difference of the number and the sum of the numbers.

Such that

a² - b² = (a - b) (a + b)

Hence 36y² - 1

= 6²y² - 1²

= (6y)² - 1²

= (6y - 1)(6y + 1)

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