Connect with knowledgeable experts and enthusiasts on IDNLearn.com. Our platform is designed to provide quick and accurate answers to any questions you may have.
Sagot :
Expanding the left side of the equation, it is found that since both sides are equal, yes, it is an identity.
An equality represents an identity if both sides are equal.
In this problem:
[tex](a - b)^4 = a^4 - 4a^3b + 6a^2b^2 - 4ab^3 + b^4[/tex]
Expanding the left side:
[tex](a - b)^2(a - b)^2 = a^4 - 4a^3b + 6a^2b^2 + 4ab^3 + b^4[/tex]
[tex](a^2 - 2ab + b^2)(a^2 - 2ab + b^2) = a^4 - 4a^3b + 6a^2b^2 - 4ab^3 + b^4[/tex]
[tex]a^4 - 4a^3b + + 6a^2b^2 - 4ab^3 + b^4 = a^4 - 4a^3b + 6a^2b^2 - 4ab^3 + b^4[/tex]
Since both sides are equal, yes, it is an identity.
A similar problem is given at https://brainly.com/question/24866308
Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. For trustworthy answers, visit IDNLearn.com. Thank you for your visit, and see you next time for more reliable solutions.
