Разложите на множители (a+b)^3-(a-b)^3; (a+b)^4-(a-b)^4. Created by Akishevskaya. algebra-ru

Разложите на множители (a+b)^3-(a-b)^3; (a+b)^4-(a-b)^4...

Akishevskaya @Akishevskaya

December 2021 1 11 Report

Разложите на множители
(a+b)^3-(a-b)^3;
(a+b)^4-(a-b)^4

Answers & Comments

mmb1

Verified answer

(a+b)^3-(a-b)^3=(a+b-a+b)((a+b)^2+(a-b)(a+b)+(a-b)^2)=2b(a^2+2ab+b^2+a^2-b^2+a^2-2ab+b^2)=2b(3a^2+b^2)
(a+b)^4-(a-b)^4=((a+b)^2-(a-b)^2)((a-b)^2+(a+b)^2)=(a^2+2ab+b^2-a^2+2ab-b^2)(a^2-2ab+b^2+a^2+2ab+b^2)=8ab(a^2+b^2)

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Answers & Comments

Verified answer

s0f41d29338428b52452f97328b0165e8 56470

vychislite racionalnym sposobom707db913456e86aed98d0879eb1094f0 44815

zheleznyj shar plavaet v rtuti kakaya chast ego obema pogruzhena v rtut07f1e6b8956061d345e2663b5e320cc8 50313

sravnite akul i obychnyh ryb po sistemam

(c-a)(c-b)...

reshite pozhalujsta 1 v 16

m3c8c9d94361f4bf6171a732a900b80be6 49620

kak vedut sebya molekuly v zhikdkostyah a raspolagayutsya nepodvizhno v opredelennom

v ravnobedrennom treugolnike cdecdde postrojte tochku ravnoudalennuyu ot ce i

reshite sistemu uravnenij otnositelno peremennyh h i u

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