Question

Aduceți la forma cea mai simpla
a)(a^3-1)(a^6+a^3+1)
b)(m-1)(m^2+m+1)
c)(2a+3b)(4a^2-6ab+9b^2)
d)(a^2+1)(a^4-a^2+1)​

Answer 1

Răspuns:

Explicație pas cu pas:

a) (a³-1)(a⁶+a³+1)  = a⁹+a⁶+a³-a⁶-a³-1 = a⁹-1

b)(m-1)(m²+m+1)  = m³+m²+m-m²-m-1 = m³-1

c)(2a+3b)(4a²-6ab+9b²)  = 8a³-12a²b+18ab²+12a²b-18ab²+27b³ =

= 8a³+27b³

d)(a²+1)(a⁴-a²+1)​ = a⁶-a⁴+a²+a⁴-a²+1 = a⁶+1

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