Question

Выполните умножение многочленов: (0,6m^3+0,1n^3)(0,6m^3−0,1n^3)

Answer 1

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Применим формулу разности квадратов:

${a}^{2} - {b}^{2} = (a - b)(a + b)$
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$(0.6 {m}^{3} + 0.1 {n}^{3} )(0.6 {m }^{3} - 0.1 {n}^{3} ) = {(0.6 {m}^{3}) }^{2} - {(0.1 {n}^{3} )}^{2} = \\ = 0.36 {m}^{6} - 0.01 {n}^{6}$