AlgMap-7.1 Expand the following:

\(\left( x-{@a@} \right) \left(x+{@a@} \right)\) = [[input:ans1]] [[validation:ans1]]]]> The difference of two squares comes up very often in mathematics: \[\left( x-y \right) \left(x+y \right) = x^2-y^2. \] In this example: \[ \left( x-{@a@} \right) \left( x+{@a@} \right) = x^2-{@a^2@}. \]

]]> 1 0.1 0 2026010500 a:rand(10)+1; ta1:x^2-a^2; [[feedback:prt1]]

]]> \[\left( x-{@a@} \right) \left( x+{@a@} \right) = {@ta1@}.\] 1 0 0 *10 dot 1 i cos-1 lang [ 0 {"author":[{"firstName":"Tony","lastName":"Barnard","institution":"","year":"1999"}],"language":["en"],"isPartOf":"STACK Library - Algebra Refresher","license":"cc-sa-4.0","additional":{"UoE":{"Notes":"This is automatically generated metadata."}},"freeform":{}} ans1 algebraic ta1 15 1 0 0 expand 1 1 1 1 1 prt1 1.0000000 1 1 0 EqualComAss ans1 ta1 0 = 1 -1 1-0-T = 0 -1 1-0-F 891379060 1144746893 208533265 290748318 555009735 684223145 1628482377 1723443166 1 Correct answer ans1 ta1 prt1 1.0000000 0.0000000 1-0-T 2 ans1 (x-a)*(x+a) prt1 0.0000000 0.1000000 1-0-F