Question

докажите тождество: a^4-16b^4=(a-2b)(a+2b)(a^2+4b^2)

Answer 1

а∧4-16b∧4=(a²-4b²)(a²+4b²)=a∧4-16b∧4

Answer 2

а⁴-16в⁴ = (а²)²-(4в²)² = (а²-4в²)(а²+4в²) = ((а)²-(2в)²)(а²+4в²) = (а-2в)(а+2в)(а²+4в²)