{"id":4237,"date":"2022-06-10T18:54:13","date_gmt":"2022-06-10T18:54:13","guid":{"rendered":"https:\/\/mdr.foobrdigital.com\/?p=4237"},"modified":"2022-06-10T18:54:13","modified_gmt":"2022-06-10T18:54:13","slug":"algebraic-identities-of-complex-numbers","status":"publish","type":"post","link":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/2022\/06\/10\/algebraic-identities-of-complex-numbers\/","title":{"rendered":"Algebraic Identities of Complex Numbers"},"content":{"rendered":"\n<p>All the algebraic identities apply equally for complex numbers. The addition and subtraction of complex numbers and with exponents of 2 or 3 can be easily solved using algebraic identities of complex numbers.<\/p>\n\n\n\n<ul><li>(z1+z2)2=z21+2z1z2+z22(z1+z2)2=z12+2z1z2+z22<\/li><li>(z1\u2212z2)2=z21\u22122z1z2+z22(z1\u2212z2)2=z12\u22122z1z2+z22<\/li><li>(z1+z2)3=z31+3z21z2+3z1z22+z32(z1+z2)3=z13+3z12z2+3z1z22+z23<\/li><li>(z1\u2212z2)3=z31\u22123z21z2+3z1z22\u2212z32(z1\u2212z2)3=z13\u22123z12z2+3z1z22\u2212z23<\/li><li>(z1+z2)(z1\u2212z2)=z21\u2212z22(z1+z2)(z1\u2212z2)=z12\u2212z22<\/li><li>(z1+z2+z3)2=z21+z22+z23+2z1z2+2z2z3+2z3z1<\/li><\/ul>\n","protected":false},"excerpt":{"rendered":"<p>All the algebraic identities apply equally for complex numbers. The addition and subtraction of complex numbers and with exponents of 2 or 3 can be easily solved using algebraic identities of complex numbers. (z1+z2)2=z21+2z1z2+z22(z1+z2)2=z12+2z1z2+z22 (z1\u2212z2)2=z21\u22122z1z2+z22(z1\u2212z2)2=z12\u22122z1z2+z22 (z1+z2)3=z31+3z21z2+3z1z22+z32(z1+z2)3=z13+3z12z2+3z1z22+z23 (z1\u2212z2)3=z31\u22123z21z2+3z1z22\u2212z32(z1\u2212z2)3=z13\u22123z12z2+3z1z22\u2212z23 (z1+z2)(z1\u2212z2)=z21\u2212z22(z1+z2)(z1\u2212z2)=z12\u2212z22 (z1+z2+z3)2=z21+z22+z23+2z1z2+2z2z3+2z3z1<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[653],"tags":[],"_links":{"self":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/4237"}],"collection":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/comments?post=4237"}],"version-history":[{"count":0,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/4237\/revisions"}],"wp:attachment":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/media?parent=4237"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/categories?post=4237"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/tags?post=4237"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}