1. Разложите на множители многочлен: е) 40a⁵b-5a²b⁴. Created by Liza048. algebra-ru

1. Разложите на множители многочлен: е) 40a⁵b-5a²b⁴...

Universalka

Verified answer

40a⁵b - 5a²b⁴ = 5a²b(8a³ - b³) = 5a²b[(2a)³ - b³] = 5a²b(2a-b)(4a² + 2ab + + b²)

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Artem112

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$\displaystyle 40a^5b-5a^2b^4=5a^2b(8a^3-b^3)=5a^2b\big((2a)^3-b^3\big)=\\=5a^2b\big(2a-b\big)\big((2a)^2+2a\cdot b+b^2\big)=5a^2b(2a-b)(4a^2+2ab+b^2)$

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Answers & Comments

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