Question

Express x2y2-64 in the form of factors ​

Answer 1

Answer:

Step-by-step explanation:

x^2y^2 - 64

=(xy+8)(xy-8)

this is using the difference of squares rule

Answer 2

answer : (xy - 8)(xy + 8)

explanation : we have to express x²y² - 64 in the form of factors .

we know, 64 = 8 × 8 = 8²

so, we can write x²y² - 64 = x²y² - 8²

now from algebraic Identities,

a² - b² = (a - b)(a + b)

if we assume , a² = x²y² and b² = 8²

Then, x²y² - 8² seems like a² - b²

so you can use above identity.

so, x²y² - 8² = (xy - 8)(xy + 8)

hence, (xy - 8) and (xy + 8) are the factors of x²y² - 64.