Предствавьте в виде произведения: 1) m^6-m^4+2m^3+2m^2 2)b^3-8+6b^2-12b

Question

Предствавьте в виде произведения:
1) m^6-m^4+2m^3+2m^2
2)b^3-8+6b^2-12b

Answer 1

1) m^6-m⁴+2m³+2m² = m⁴(m²-1)+2m²(m+1) = m⁴(m-1)(m+1)+2m²(m+1) = (m+1)(m⁴(m-1)+2m²) = (m+1)(m^5-m⁴+2m²)

2) b³-8+6b²-12b = (b-2)(b²+2b+4)+6b(b-2) = (b-2)(b²+2b+4+6b) = (b-2)(b²+8b+4)

Comments

Спасибоооо:З

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спасибо большое

Answer 2

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1)...m^6-m^4+2m^3+2m^2= m^4(m^2-1)+2m^2(m+1) = m^4(m-1)(m+1)+2m^2(m+1) = (m+1)(m^4(m-1)+2m^2) = (m+1)(m^5-m^4+2m^2)

2)... b^3-8+6b^3-12b = (b-2)(b^2+2b+4)+6b(b-2) = (b-2)(b^2+2b+4+6b) = (b-2)(b^2+8b+4)