Вопрос школьника по предмету Алгебра
ПОМОГИТЕ ПОЖАЛУЙСТА
(3 а-а²)²-а²(а-2)(a+2)+2 а(7+3a²)
Ответ учителя по предмету Алгебра
1) ( 3а — а^2 )^2 = ( а( 3 — а ))^2 = а^2( 3 — а )^2
2) а^2( а — 2 )( а + 2 ) = а^2( а^2 — 4 )
3) а^2( 3 — а )^2 — а^2( а^2 — 4 ) = а^2( ( 3 — а )^2 — ( а^2 — 4 )) = а^2( 9 — 6а + а^2 — а^2 + 4 ) = а^2( 13 — 6a ) = 13a^2 — 6a^3
4) 2a( 7 + 3a^2 ) = 14a + 6a^3
5) 13a^2 — 6а^3 + 14а + 6a^3 = 13a^2 + 14a
Ответ 13а^2 + 14а
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