Question

(97 xy)cube

using the identity

(a + b)cube = a +3a²b + 3ab square + b cube

square = 2
cube = 3

please solve this questions​

Answer 1

Answer:

912673 $x^{3} y^{3}$

Step-by-step explanation:

$(97 xy)^{3}$

= $[(100 -3)xy]^{3}$

=$[100 + (-3)]^{3}x^{3}y^{3}$

=[ $100^{3} + 3(100)^{2}(-3) + 3(100)(-3)^{2} + (-3)^{3}$] $x^{3} y^{3}$

= [1000000 - 90000 + 2700 - 27] $x^{3} y^{3}$

= [910000 + 2700 - 27] $x^{3} y^{3}$

= [912700 - 27] $x^{3} y^{3}$

= 912673 $x^{3} y^{3}$