Разложите на множители: a) 16e⁴-49a²f²; б) (a-4)²-16; в) y³-125n⁶. Created by LeDoNcK. algebra-ru

Разложите на множители: a) 16e⁴-49a²f²; б) (a-4)²-16; в) y³-125n⁶...

March 2022 1 18 Report

Разложите на множители: a) 16e⁴-49a²f²; б) (a-4)²-16; в) y³-125n⁶

Answers & Comments

konstantsya A) 16e⁴-49a²f² = (4е²)²-(7af)² = (4е²-7af)(4е²+7af);
б) (a-4)²-16 = (a-4)²-4² = (a-4-4)(a-4+4) = a(a-8);
в) y³-125n⁶ = y³-(5n)³ = (y-5n)(y²+5ny+25n²).

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