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Автор - 3452358

Разложите на множители
а) 0,008a³+64b³
б) 1000x³+y⁶

Ответ

Автор - sergeevaolga5

0,008a^3+64b^3=(0,2a)^3+(4b)^3=\=(0,2a+4b)((0,2a)^2-0,2a*4b+(4b)^2)=\=(0,2a+4b)(0,04a^2-0,8ab+16b^2)\\1000x^3+y^6=(10x)^3+(y^2)^3=\=(10x+y^2)((10x)^2-10x*y^2+(y^2)^2)=\=(10x+y)(100x^2-10xy^2+y^4)

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