Вправа 603 алгебра Бевз гдз 7 клас

№ 603

а) а⁶ + b^3р = (а²)³ + (b^р)³ = (а² + b^р)(а⁴ + а²b^р + b^2р);
б) а^3m+6 – b¹² = (a^m+2)³ – (b⁴)³ = (a^m+2 – b⁴)(a^2m+4 + a^m+2 • b⁴ + b⁸);
в) a^15m+3 + b^33–3m = (a^5m+1)³ + (b^11–m)³ = (a^5m+1 + b^11–m)(b^22–2m –
– a^5m+1 • b^11–m + b^22–2m);
г) a^9n–6 – 27b^6–12n = (a^3n–2)³ – (3b^2–4n)³ =
= (a^3n–2 – 3b^2–4n)(a^6n–4 + a^3n–2 • 3b^2–4n + 9b^4–8n).