The expression (xy−6)² is equivalent to x²y² - 12xy + 36.

This is obtained by squaring the binomial (xy - 6). The square of a binomial (a - b)² is given by a² - 2ab + b².

So, in this case, a is xy and b is 6.

Therefore, (xy - 6)² = (xy)² - 2*6*xy + 6² = x²y² - 12xy + 36.

So, none of the options A, B, C, D is equivalent to (xy−6)².

Question

The expression (xy−6)² is equivalent to x²y² - 12xy + 36.

This is obtained by squaring the binomial (xy - 6). The square of a binomial (a - b)² is given by a² - 2ab + b².

So, in this case, a is xy and b is 6.

Therefore, (xy - 6)² = (xy)² - 2*6*xy + 6² = x²y² - 12xy + 36.

So, none of the options A, B, C, D is equivalent to (xy−6)².

Knowee AI · Accepted Answer

The expression (xy−6)² is equivalent to x²y² - 12xy + 36.

This is obtained by squaring the binomial (xy - 6). The square of a binomial (a - b)² is given by a² - 2ab + b².

So, in this case, a is xy and b is 6.

Therefore, (xy - 6)² = (xy)² - 2*6*xy + 6² = x²y² - 12xy + 36.

So, none of the options A, B, C, D is equivalent to (xy−6)².

Which expression is equivalent to (xy−6)2(𝑥⁢𝑦-6)2 for all values of x and y where the expression is defined? A. xy−36𝑥⁢𝑦-36 B. xy36𝑥⁢𝑦36 C. x2y−12𝑥2⁢𝑦-12 D. x2y12